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121102200220100 = 2252111032414435117
BaseRepresentation
bin11011100010010001001101…
…101000000010100111000100
3120212210020221112221120020112
4123202101031220002213010
5111333114301224020400
61105321325512452152
734336226262365441
oct3342211550024704
9525706845846215
10121102200220100
1135650177995120
12116ba5019aa058
135275b71cb2818
1421c95408309c8
15e0022d368835
hex6e244da029c4

121102200220100 has 144 divisors (see below), whose sum is σ = 290666421741696. Its totient is φ = 43428655872000.

The previous prime is 121102200220063. The next prime is 121102200220123. The reversal of 121102200220100 is 1022002201121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25087742 + ... + 29522858.

Almost surely, 2121102200220100 is an apocalyptic number.

121102200220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121102200220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145333210870848).

121102200220100 is an abundant number, since it is smaller than the sum of its proper divisors (169564221521596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121102200220100 is a wasteful number, since it uses less digits than its factorization.

121102200220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4435486 (or 4435479 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121102200220100 its reverse (1022002201121), we get a palindrome (122124202421221).

The spelling of 121102200220100 in words is "one hundred twenty-one trillion, one hundred two billion, two hundred million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 103 110 206 220 241 275 412 482 515 550 964 1030 1100 1133 1205 2060 2266 2410 2575 2651 4532 4820 5150 5302 5665 6025 10300 10604 11330 12050 13255 22660 24100 24823 26510 28325 49646 53020 56650 66275 99292 113300 124115 132550 248230 265100 273053 496460 546106 620575 1092212 1241150 1365265 2482300 2730530 4435117 5461060 6826325 8870234 13652650 17740468 22175585 27305300 44351170 48786287 88702340 97572574 110877925 195145148 221755850 243931435 443511700 456817051 487862870 913634102 975725740 1068863197 1219657175 1827268204 2137726394 2284085255 2439314350 4275452788 4568170510 4878628700 5024987561 5344315985 9136341020 10049975122 10688631970 11420426275 11757495167 20099950244 21377263940 22840852550 23514990334 25124937805 26721579925 45681705100 47029980668 50249875610 53443159850 58787475835 100499751220 106886319700 110092909291 117574951670 125624689025 220185818582 235149903340 251249378050 293937379175 440371637164 502498756100 550464546455 587874758350 1100929092910 1175749516700 1211022002201 2201858185820 2422044004402 2752322732275 4844088008804 5504645464550 6055110011005 11009290929100 12110220022010 24220440044020 30275550055025 60551100110050 121102200220100