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101201212101220 = 225711149441040757
BaseRepresentation
bin10111000000101010111110…
…010011000101001001100100
3111021022202000110210202112221
4113000222332103011021210
5101231040040244214340
6555123110042522124
730213355243424140
oct2700527623051144
9437282013722487
10101201212101220
112a278213a14910
12b425581206344
1344613058a11ba
141adc2442da220
15ba7720ad644a
hex5c0abe4c5264

101201212101220 has 96 divisors (see below), whose sum is σ = 266741450438400. Its totient is φ = 31331535306240.

The previous prime is 101201212101191. The next prime is 101201212101233. The reversal of 101201212101220 is 22101212102101.

It is a super-2 number, since 2×1012012121012202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101201212101194 and 101201212101203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220290919 + ... + 220749838.

It is an arithmetic number, because the mean of its divisors is an integer number (2778556775400).

Almost surely, 2101201212101220 is an apocalyptic number.

101201212101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201212101220 is an abundant number, since it is smaller than the sum of its proper divisors (165540238337180).

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

101201212101220 is a wasteful number, since it uses less digits than its factorization.

101201212101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441040933 (or 441040931 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101201212101220 its reverse (22101212102101), we get a palindrome (123302424203321).

The spelling of 101201212101220 in words is "one hundred one trillion, two hundred one billion, two hundred twelve million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 149 154 220 298 308 385 596 745 770 1043 1490 1540 1639 2086 2980 3278 4172 5215 6556 8195 10430 11473 16390 20860 22946 32780 45892 57365 114730 229460 441040757 882081514 1764163028 2205203785 3087285299 4410407570 4851448327 6174570598 8820815140 9702896654 12349141196 15436426495 19405793308 24257241635 30872852990 33960138289 48514483270 61745705980 65715072793 67920276578 97028966540 131430145586 135840553156 169800691445 262860291172 328575363965 339601382890 460005509551 657150727930 679202765780 722865800723 920011019102 1314301455860 1445731601446 1840022038204 2300027547755 2891463202892 3614329003615 4600055095510 5060060605061 7228658007230 9200110191020 10120121210122 14457316014460 20240242420244 25300303025305 50600606050610 101201212101220