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102021211112121 = 36731216405767
BaseRepresentation
bin10111001100100110101010…
…000011000100001010111001
3111101020010120121121112000000
4113030212222003010022321
5101333003420021041441
61000551521455303213
730326534501133330
oct2714465203041271
9441203517545000
10102021211112121
112a563a52a92494
12b53848921ab09
1344c0735c6a222
141b29bd276ad17
15bbdc149eb2b6
hex5cc9aa0c42b9

102021211112121 has 56 divisors (see below), whose sum is σ = 174869574493824. Its totient is φ = 58279146606720.

The previous prime is 102021211112083. The next prime is 102021211112167. The reversal of 102021211112121 is 121211112120201.

It is a happy number.

It is not a de Polignac number, because 102021211112121 - 29 = 102021211111609 is a prime.

It is a super-2 number, since 2×1020212111121212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102021211112094 and 102021211112103.

It is not an unprimeable number, because it can be changed into a prime (102021211111121) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12723580 + ... + 19129346.

It is an arithmetic number, because the mean of its divisors is an integer number (3122670973104).

Almost surely, 2102021211112121 is an apocalyptic number.

It is an amenable number.

102021211112121 is a deficient number, since it is larger than the sum of its proper divisors (72848363381703).

102021211112121 is an frugal number, since it uses more digits than its factorization.

102021211112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6408913 (or 6408898 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 102021211112121 its reverse (121211112120201), we get a palindrome (223232323232322).

The spelling of 102021211112121 in words is "one hundred two trillion, twenty-one billion, two hundred eleven million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 729 1701 3121 5103 9363 21847 28089 65541 84267 196623 252801 589869 758403 1769607 2275209 5308821 6405767 15926463 19217301 44840369 57651903 134521107 172955709 403563321 518867127 1210689963 1556601381 3632069889 4669804143 10896209667 19992398807 32688629001 59977196421 139946791649 179931589263 419840374947 539794767789 1259521124841 1619384303367 3778563374523 4858152910101 11335690123569 14574458730303 34007070370707 102021211112121