102122122012020 has 168 divisors, whose sum is σ = 350768285854560. Its totient is φ = 24756878024640.

The previous prime is 102122122011979. The next prime is 102122122012067. The reversal of 102122122012020 is 20210221221201.

It is a happy number.

102122122012020 is a `hidden beast` number, since 1 + 0 + 21 + 221 + 220 + 1 + 202 + 0 = 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 = 102122122011984 and 102122122012002.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 318215110 + ... + 318535869.

It is an arithmetic number, because the mean of its divisors is an integer number (2087906463420).

Almost surely, 2^{102122122012020} is an apocalyptic number.

102122122012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122122012020 is an abundant number, since it is smaller than the sum of its proper divisors (248646163842540).

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

102122122012020 is a wasteful number, since it uses less digits than its factorization.

102122122012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636751017 (or 636751000 counting only the distinct ones).

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

Adding to 102122122012020 its reverse (20210221221201), we get a palindrome (122332343233221).

The spelling of 102122122012020 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twenty-two million, twelve thousand, twenty".