102122012101122 has 128 divisors (see below), whose sum is σ = 244594328832000. Its totient is φ = 31396482911232.

The previous prime is 102122012101117. The next prime is 102122012101127. The reversal of 102122012101122 is 221101210221201.

102122012101122 is a `hidden beast` number, since 10 + 212 + 201 + 210 + 11 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (102122012101117) and next prime (102122012101127).

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 = 102122012101095 and 102122012101104.

It is not an unprimeable number, because it can be changed into a prime (102122012101127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6133814254 + ... + 6133830902.

It is an arithmetic number, because the mean of its divisors is an integer number (1910893194000).

Almost surely, 2^{102122012101122} is an apocalyptic number.

102122012101122 is an abundant number, since it is smaller than the sum of its proper divisors (142472316730878).

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

102122012101122 is a wasteful number, since it uses less digits than its factorization.

102122012101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23289 (or 23283 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102122012101122 its reverse (221101210221201), we get a palindrome (323223222322323).

The spelling of 102122012101122 in words is "one hundred two trillion, one hundred twenty-two billion, twelve million, one hundred one thousand, one hundred twenty-two".