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201102202022121 = 34137257362319463
BaseRepresentation
bin101101101110011011000001…
…010100001010100011101001
3222101001011221020012010210000
4231232123001110022203221
5202324324302204201441
61551413024244013213
760234104016032601
oct5556330124124351
9871034836163700
10201102202022121
1159093a68355134
121a67ab54691209
138829b1932600a
143793581733c01
15183b1e300b2b6
hexb6e6c150a8e9

201102202022121 has 80 divisors (see below), whose sum is σ = 303881630241024. Its totient is φ = 132528275767296.

The previous prime is 201102202022107. The next prime is 201102202022167. The reversal of 201102202022121 is 121220202201102.

It is a happy number.

201102202022121 is a `hidden beast` number, since 20 + 1 + 10 + 220 + 202 + 212 + 1 = 666.

It is not a de Polignac number, because 201102202022121 - 211 = 201102202020073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201102202022094 and 201102202022103.

It is not an unprimeable number, because it can be changed into a prime (201102202022321) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 10332529036 + ... + 10332548498.

Almost surely, 2201102202022121 is an apocalyptic number.

It is an amenable number.

201102202022121 is a deficient number, since it is larger than the sum of its proper divisors (102779428218903).

201102202022121 is a wasteful number, since it uses less digits than its factorization.

201102202022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23492 (or 23483 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201102202022121 its reverse (121220202201102), we get a palindrome (322322404223223).

The spelling of 201102202022121 in words is "two hundred one trillion, one hundred two billion, two hundred two million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 27 81 137 257 411 771 1233 2313 3623 3699 6939 10869 11097 19463 20817 32607 35209 58389 97821 105627 175167 293463 316881 496351 525501 931111 950643 1489053 1576503 2666431 2793333 2851929 4467159 5001991 7999293 8379999 13401477 15005973 23997879 25139997 40204431 45017919 70514449 71993637 75419991 127562207 135053757 211543347 215980911 382686621 405161271 634630041 685272767 1148059863 1903890123 2055818301 3444179589 5711670369 6167454903 9660479513 10332538767 18122213393 18502364709 28981438539 54366640179 55507094127 86944315617 163099920537 260832946851 489299761611 782498840553 1467899284833 2482743234841 7448229704523 22344689113569 67034067340707 201102202022121