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102022120122021 = 32111030526465879
BaseRepresentation
bin10111001100100111100000…
…001110101010011010100101
3111101020012220222002000011100
4113030213200032222122211
5101333012300222401041
61000552152010430313
730326566146446061
oct2714474016523245
9441205828060140
10102022120122021
112a56437a109040
12b5386a1732399
1344c084c3998c8
141b29c7b390aa1
15bbdc697076b6
hex5cc9e03aa6a5

102022120122021 has 12 divisors (see below), whose sum is σ = 160762128677280. Its totient is φ = 61831587952680.

The previous prime is 102022120122007. The next prime is 102022120122119. The reversal of 102022120122021 is 120221021220201.

It is a happy number.

102022120122021 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 221 + 201 + 220 + 21 = 666.

It is not a de Polignac number, because 102022120122021 - 210 = 102022120120997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102022120121985 and 102022120122003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022120127021) 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 11 ways as a sum of consecutive naturals, for example, 515263232841 + ... + 515263233038.

It is an arithmetic number, because the mean of its divisors is an integer number (13396844056440).

Almost surely, 2102022120122021 is an apocalyptic number.

102022120122021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102022120122021 is a deficient number, since it is larger than the sum of its proper divisors (58740008555259).

102022120122021 is a wasteful number, since it uses less digits than its factorization.

102022120122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030526465896 (or 1030526465893 counting only the distinct ones).

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

Adding to 102022120122021 its reverse (120221021220201), we get a palindrome (222243141342222).

The spelling of 102022120122021 in words is "one hundred two trillion, twenty-two billion, one hundred twenty million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 3 9 11 33 99 1030526465879 3091579397637 9274738192911 11335791124669 34007373374007 102022120122021