102133003100 has 36 divisors (see below), whose sum is σ = 221672390184. Its totient is φ = 40845132480.

The previous prime is 102133003061. The next prime is 102133003111. The reversal of 102133003100 is 1300331201.

It is a super-2 number, since 2×102133003100² (a number of 23 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 421439 + ... + 617961.

It is an arithmetic number, because the mean of its divisors is an integer number (6157566394).

Almost surely, 2^102133003100 is an apocalyptic number.

102133003100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102133003100 is an abundant number, since it is smaller than the sum of its proper divisors (119539387084).

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

102133003100 is a wasteful number, since it uses less digits than its factorization.

102133003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201734 (or 201727 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 102133003100 its reverse (1300331201), we get a palindrome (103433334301).

The spelling of 102133003100 in words is "one hundred two billion, one hundred thirty-three million, three thousand, one hundred".