100313221132100 has 72 divisors (see below), whose sum is σ = 224711049405696. Its totient is φ = 38829294000000.

The previous prime is 100313221132097. The next prime is 100313221132123. The reversal of 100313221132100 is 1231122313001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 74510930 + ... + 75845270.

Almost surely, 2^{100313221132100} is an apocalyptic number.

100313221132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100313221132100 is an abundant number, since it is smaller than the sum of its proper divisors (124397828273596).

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

100313221132100 is a wasteful number, since it uses less digits than its factorization.

100313221132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358637 (or 1358630 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 100313221132100 its reverse (1231122313001), we get a palindrome (101544343445101).

The spelling of 100313221132100 in words is "one hundred trillion, three hundred thirteen billion, two hundred twenty-one million, one hundred thirty-two thousand, one hundred".