102122012020100 has 72 divisors (see below), whose sum is σ = 233323170423840. Its totient is φ = 38689744020480.

The previous prime is 102122012020027. The next prime is 102122012020123. The reversal of 102122012020100 is 1020210221201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1727924 + ... + 14395476.

It is an arithmetic number, because the mean of its divisors is an integer number (3240599589220).

Almost surely, 2^{102122012020100} is an apocalyptic number.

102122012020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102122012020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116661585211920).

102122012020100 is an abundant number, since it is smaller than the sum of its proper divisors (131201158403740).

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

102122012020100 is a wasteful number, since it uses less digits than its factorization.

102122012020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12671829 (or 12671822 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102122012020100 its reverse (1020210221201), we get a palindrome (103142222241301).

The spelling of 102122012020100 in words is "one hundred two trillion, one hundred twenty-two billion, twelve million, twenty thousand, one hundred".