102212133300 has 54 divisors (see below), whose sum is σ = 320378256198. Its totient is φ = 27256568640.

The previous prime is 102212133299. The next prime is 102212133311. The reversal of 102212133300 is 3331212201.

102212133300 is a `hidden beast` number, since 10 + 221 + 2 + 133 + 300 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 25458755364 + 76753377936 = 159558^2 + 277044^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56783619 + ... + 56785418.

Almost surely, 2^102212133300 is an apocalyptic number.

102212133300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212133300 is an abundant number, since it is smaller than the sum of its proper divisors (218166122898).

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

102212133300 is a wasteful number, since it uses less digits than its factorization.

102212133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113569057 (or 113569047 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102212133300 its reverse (3331212201), we get a palindrome (105543345501).

The spelling of 102212133300 in words is "one hundred two billion, two hundred twelve million, one hundred thirty-three thousand, three hundred".