100032013330100 has 36 divisors (see below), whose sum is σ = 217070426397804. Its totient is φ = 40012628839680.

The previous prime is 100032013330057. The next prime is 100032013330187. The reversal of 100032013330100 is 1033310230001.

It can be written as a sum of positive squares in 6 ways, for example, as 1308434001424 + 98723579328676 = 1143868^2 + 9935974^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21887414 + ... + 26059986.

Almost surely, 2^{100032013330100} is an apocalyptic number.

100032013330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100032013330100 is an abundant number, since it is smaller than the sum of its proper divisors (117038413067704).

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

100032013330100 is a wasteful number, since it uses less digits than its factorization.

100032013330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4412324 (or 4412317 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 100032013330100 its reverse (1033310230001), we get a palindrome (101065323560101).

The spelling of 100032013330100 in words is "one hundred trillion, thirty-two billion, thirteen million, three hundred thirty thousand, one hundred".