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102220202101122 = 2327101431162111497
BaseRepresentation
bin10111001111011111111110…
…110101011100100110000010
3111101221011012122021010121200
4113033133332311130212002
5101344233433214213442
61001223151303002030
730350110620466320
oct2717377665344602
9441834178233550
10102220202101122
112a6303872357a6
12b56ab62a39316
134506429215871
141b356ac836d10
15bc3eae5ae34c
hex5cf7fed5c982

102220202101122 has 192 divisors, whose sum is σ = 256396248695808. Its totient is φ = 28829208960000.

The previous prime is 102220202101117. The next prime is 102220202101151. The reversal of 102220202101122 is 221101202022201.

It is a happy number.

102220202101122 is a `hidden beast` number, since 102 + 220 + 20 + 210 + 112 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102220202101095 and 102220202101104.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 8891026878 + ... + 8891038374.

It is an arithmetic number, because the mean of its divisors is an integer number (1335397128624).

Almost surely, 2102220202101122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102220202101122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128198124347904).

102220202101122 is an abundant number, since it is smaller than the sum of its proper divisors (154176046594686).

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

102220202101122 is a wasteful number, since it uses less digits than its factorization.

102220202101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13665 (or 13662 counting only the distinct ones).

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

Adding to 102220202101122 its reverse (221101202022201), we get a palindrome (323321404123323).

The spelling of 102220202101122 in words is "one hundred two trillion, two hundred twenty billion, two hundred two million, one hundred one thousand, one hundred twenty-two".