10032133100100 has 72 divisors (see below), whose sum is σ = 29049000744960. Its totient is φ = 2673143729280.

The previous prime is 10032133100029. The next prime is 10032133100117. The reversal of 10032133100100 is 100133123001.

10032133100100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10032133100100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12689187 + ... + 13456586.

It is an arithmetic number, because the mean of its divisors is an integer number (403458343680).

Almost surely, 2^{10032133100100} is an apocalyptic number.

10032133100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032133100100 is an abundant number, since it is smaller than the sum of its proper divisors (19016867644860).

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

10032133100100 is a wasteful number, since it uses less digits than its factorization.

10032133100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26147069 (or 26147062 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10032133100100 its reverse (100133123001), we get a palindrome (10132266223101).

The spelling of 10032133100100 in words is "ten trillion, thirty-two billion, one hundred thirty-three million, one hundred thousand, one hundred".