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102222100122021 = 3311344182155293
BaseRepresentation
bin10111001111100001101111…
…111101110100100110100101
3111101221100002220201120211000
4113033201233331310212211
5101344301330112401041
61001224103504103513
730350205635424045
oct2717415775644645
9441840086646730
10102222100122021
112a631170659a10
12b56b3b2604b99
13450666c505659
141b3580c947725
15bc407102abb6
hex5cf86ff749a5

102222100122021 has 16 divisors (see below), whose sum is σ = 165207434541120. Its totient is φ = 61952787952560.

The previous prime is 102222100121923. The next prime is 102222100122047. The reversal of 102222100122021 is 120221001222201.

It is a happy number.

102222100122021 is a `hidden beast` number, since 10 + 222 + 210 + 0 + 1 + 220 + 2 + 1 = 666.

It is not a de Polignac number, because 102222100122021 - 215 = 102222100089253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102222100121985 and 102222100122003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102222100122221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172091077350 + ... + 172091077943.

It is an arithmetic number, because the mean of its divisors is an integer number (10325464658820).

Almost surely, 2102222100122021 is an apocalyptic number.

102222100122021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102222100122021 is a deficient number, since it is larger than the sum of its proper divisors (62985334419099).

102222100122021 is a wasteful number, since it uses less digits than its factorization.

102222100122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344182155313 (or 344182155307 counting only the distinct ones).

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

Adding to 102222100122021 its reverse (120221001222201), we get a palindrome (222443101344222).

The spelling of 102222100122021 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 3 9 11 27 33 99 297 344182155293 1032546465879 3097639397637 3786003708223 9292918192911 11358011124669 34074033374007 102222100122021