2101000100100 has 144 divisors (see below), whose sum is σ = 6632159681280. Its totient is φ = 509284252800.

The previous prime is 2101000100081. The next prime is 2101000100201. The reversal of 2101000100100 is 10010001012.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43598619 + ... + 43646781.

Almost surely, 2^{2101000100100} is an apocalyptic number.

2101000100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101000100100 is an abundant number, since it is smaller than the sum of its proper divisors (4531159581180).

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

2101000100100 is a wasteful number, since it uses less digits than its factorization.

2101000100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61410 (or 61403 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 2101000100100 its reverse (10010001012), we get a palindrome (2111010101112).

The spelling of 2101000100100 in words is "two trillion, one hundred one billion, one hundred thousand, one hundred".