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10011201202221 = 31271572393072281
BaseRepresentation
bin1001000110101110101000…
…0101110110100000101101
31022110001122211021021121220
42101223222011312200231
52303010420001432341
633143025441413553
72052166620112452
oct221535205664055
938401584237556
1010011201202221
11320a7aa0a603a
1211582a303a2b9
1357808a96b42b
1426878aa15829
151256334c7a66
hex91aea17682d

10011201202221 has 64 divisors (see below), whose sum is σ = 13645977354240. Its totient is φ = 6527672686080.

The previous prime is 10011201202193. The next prime is 10011201202243. The reversal of 10011201202221 is 12220210211001.

It is not a de Polignac number, because 10011201202221 - 221 = 10011199105069 is a prime.

It is a super-2 number, since 2×100112012022212 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10011201202221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011201202271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4388951601 + ... + 4388953881.

It is an arithmetic number, because the mean of its divisors is an integer number (213218396160).

Almost surely, 210011201202221 is an apocalyptic number.

It is an amenable number.

10011201202221 is a deficient number, since it is larger than the sum of its proper divisors (3634776152019).

10011201202221 is a wasteful number, since it uses less digits than its factorization.

10011201202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10011201202221 its reverse (12220210211001), we get a palindrome (22231411413222).

The spelling of 10011201202221 in words is "ten trillion, eleven billion, two hundred one million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 3 127 157 239 307 381 471 717 921 2281 6843 19939 30353 37523 38989 48199 59817 73373 91059 112569 116967 144597 220119 289687 358117 545159 700267 869061 1074351 1635477 2100801 4765421 6121273 9318371 11519561 14296263 18363819 27955113 34558683 45480859 69235193 85589963 88933909 109941919 136442577 167363813 207705579 256769889 266801727 329825757 502091439 1462984247 4388952741 10869925301 13962623713 21255204251 26276118641 32609775903 41887871139 63765612753 78828355923 3337067067407 10011201202221