102122001100 has 72 divisors (see below), whose sum is σ = 261432378368. Its totient is φ = 33883790400.

The previous prime is 102122001089. The next prime is 102122001101. The reversal of 102122001100 is 1100221201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (102122001101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2331342 + ... + 2374741.

Almost surely, 2^102122001100 is an apocalyptic number.

102122001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122001100 is an abundant number, since it is smaller than the sum of its proper divisors (159310377268).

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

102122001100 is a wasteful number, since it uses less digits than its factorization.

102122001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4706135 (or 4706128 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102122001100 its reverse (1100221201), we get a palindrome (103222222301).

The spelling of 102122001100 in words is "one hundred two billion, one hundred twenty-two million, one thousand, one hundred".