100013002100 has 144 divisors (see below), whose sum is σ = 239493004800. Its totient is φ = 35950780800.

The previous prime is 100013002093. The next prime is 100013002109. The reversal of 100013002100 is 1200310001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013002109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35679299 + ... + 35682101.

Almost surely, 2^100013002100 is an apocalyptic number.

100013002100 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 100013002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119746502400).

100013002100 is an abundant number, since it is smaller than the sum of its proper divisors (139480002700).

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

100013002100 is a wasteful number, since it uses less digits than its factorization.

100013002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3190 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 100013002100 its reverse (1200310001), we get a palindrome (101213312101).

The spelling of 100013002100 in words is "one hundred billion, thirteen million, two thousand, one hundred".