102122122021100 has 36 divisors (see below), whose sum is σ = 234640593306504. Its totient is φ = 38445975348480.

The previous prime is 102122122021033. The next prime is 102122122021103. The reversal of 102122122021100 is 1120221221201.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (102122122021103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30035916542 + ... + 30035919941.

It is an arithmetic number, because the mean of its divisors is an integer number (6517794258514).

Almost surely, 2^{102122122021100} is an apocalyptic number.

102122122021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122122021100 is an abundant number, since it is smaller than the sum of its proper divisors (132518471285404).

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

102122122021100 is a wasteful number, since it uses less digits than its factorization.

102122122021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60071836514 (or 60071836507 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102122122021100 its reverse (1120221221201), we get a palindrome (103242343242301).

The spelling of 102122122021100 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twenty-two million, twenty-one thousand, one hundred".