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102221011201212 = 223219336074078817
BaseRepresentation
bin10111001111100000101111…
…000011111010110010111100
3111101221020022000201200021200
4113033200233003322302330
5101344242112331414322
61001223403444455500
730350136643643601
oct2717405703726274
9441836260650250
10102221011201212
112a630761a21662
12b56b1499aa590
134506527a33807
141b357480906a8
15bc400a6328ac
hex5cf82f0facbc

102221011201212 has 72 divisors (see below), whose sum is σ = 259802890322976. Its totient is φ = 33887716982784.

The previous prime is 102221011201189. The next prime is 102221011201229. The reversal of 102221011201212 is 212102110122201.

102221011201212 is a `hidden beast` number, since 10 + 22 + 210 + 11 + 201 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23022028 + ... + 27100844.

It is an arithmetic number, because the mean of its divisors is an integer number (3608373476708).

Almost surely, 2102221011201212 is an apocalyptic number.

102221011201212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102221011201212 is an abundant number, since it is smaller than the sum of its proper divisors (157581879121764).

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

102221011201212 is a wasteful number, since it uses less digits than its factorization.

102221011201212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4082627 (or 4082622 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102221011201212 its reverse (212102110122201), we get a palindrome (314323121323413).

The spelling of 102221011201212 in words is "one hundred two trillion, two hundred twenty-one billion, eleven million, two hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 193 386 579 772 1158 1737 2316 3474 3607 6948 7214 10821 14428 21642 32463 43284 64926 129852 696151 1392302 2088453 2784604 4078817 4176906 6265359 8157634 8353812 12236451 12530718 16315268 24472902 25061436 36709353 48945804 73418706 146837412 787211681 1574423362 2361635043 3148846724 4723270086 7084905129 9446540172 14169810258 14712292919 28339620516 29424585838 44136878757 58849171676 88273757514 132410636271 176547515028 264821272542 529642545084 2839472533367 5678945066734 8518417600101 11357890133468 17036835200202 25555252800303 34073670400404 51110505600606 102221011201212