102121020100 has 72 divisors (see below), whose sum is σ = 246309735168. Its totient is φ = 36434236800.

The previous prime is 102121020019. The next prime is 102121020151. The reversal of 102121020100 is 1020121201.

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

It is an unprimeable number.

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, 817524 + ... + 934123.

It is an arithmetic number, because the mean of its divisors is an integer number (3420968544).

Almost surely, 2^102121020100 is an apocalyptic number.

102121020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121020100 is an abundant number, since it is smaller than the sum of its proper divisors (144188715068).

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

102121020100 is a wasteful number, since it uses less digits than its factorization.

102121020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751725 (or 1751718 counting only the distinct ones).

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

Adding to 102121020100 its reverse (1020121201), we get a palindrome (103141141301).

The spelling of 102121020100 in words is "one hundred two billion, one hundred twenty-one million, twenty thousand, one hundred".