100013201100 has 108 divisors (see below), whose sum is σ = 315061692400. Its totient is φ = 26536118400.

The previous prime is 100013201077. The next prime is 100013201131. The reversal of 100013201100 is 1102310001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100111 + ... + 458310.

Almost surely, 2^100013201100 is an apocalyptic number.

100013201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100013201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157530846200).

100013201100 is an abundant number, since it is smaller than the sum of its proper divisors (215048491300).

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

100013201100 is a wasteful number, since it uses less digits than its factorization.

100013201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558640 (or 558630 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100013201100 its reverse (1102310001), we get a palindrome (101115511101).

The spelling of 100013201100 in words is "one hundred billion, thirteen million, two hundred one thousand, one hundred".