100111002100 has 18 divisors (see below), whose sum is σ = 217240874774. Its totient is φ = 40044400800.

The previous prime is 100111002073. The next prime is 100111002127. The reversal of 100111002100 is 1200111001.

It is an interprime number because it is at equal distance from previous prime (100111002073) and next prime (100111002127).

It can be written as a sum of positive squares in 3 ways, for example, as 3939068644 + 96171933456 = 62762^2 + 310116^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500554911 + ... + 500555110.

Almost surely, 2^100111002100 is an apocalyptic number.

100111002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111002100 is an abundant number, since it is smaller than the sum of its proper divisors (117129872674).

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

100111002100 is a wasteful number, since it uses less digits than its factorization.

100111002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001110035 (or 1001110028 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100111002100 its reverse (1200111001), we get a palindrome (101311113101).

The spelling of 100111002100 in words is "one hundred billion, one hundred eleven million, two thousand, one hundred".