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121101210210100 = 225212752817180539
BaseRepresentation
bin11011100010010000010010…
…100111011100111100110100
3120212210011101120001211211111
4123202100102213130330310
5111333110234303210400
61105321043345244404
734336162611423061
oct3342202247347464
9525704346054744
10121101210210100
113564a80a074a3a
12116ba286333704
135275a44b627a3
1421c9489163c68
15e001c14ac3ba
hex6e24129dcf34

121101210210100 has 72 divisors (see below), whose sum is σ = 264865317534720. Its totient is φ = 48057886840320.

The previous prime is 121101210210011. The next prime is 121101210210119. The reversal of 121101210210100 is 1012012101121.

It is a happy number.

It is a super-2 number, since 2×1211012102101002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 670685631 + ... + 670866169.

It is an arithmetic number, because the mean of its divisors is an integer number (3678684965760).

Almost surely, 2121101210210100 is an apocalyptic number.

121101210210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121101210210100 is an abundant number, since it is smaller than the sum of its proper divisors (143764107324620).

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

121101210210100 is a wasteful number, since it uses less digits than its factorization.

121101210210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233497 (or 233490 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 121101210210100 its reverse (1012012101121), we get a palindrome (122113222311221).

The spelling of 121101210210100 in words is "one hundred twenty-one trillion, one hundred one billion, two hundred ten million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 127 254 508 635 1270 2540 3175 6350 12700 52817 105634 180539 211268 264085 361078 528170 722156 902695 1056340 1320425 1805390 2640850 3610780 4513475 5281700 6707759 9026950 13415518 18053900 22928453 26831036 33538795 45856906 67077590 91713812 114642265 134155180 167693975 229284530 335387950 458569060 573211325 670775900 1146422650 2292845300 9535528363 19071056726 38142113452 47677641815 95355283630 190710567260 238388209075 476776418150 953552836300 1211012102101 2422024204202 4844048408404 6055060510505 12110121021010 24220242042020 30275302552525 60550605105050 121101210210100