100011000002100 has 108 divisors (see below), whose sum is σ = 318062531361792. Its totient is φ = 24245090900800.

The previous prime is 100011000002071. The next prime is 100011000002129. The reversal of 100011000002100 is 1200000110001.

It is an interprime number because it is at equal distance from previous prime (100011000002071) and next prime (100011000002129).

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 a congruent number.

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, 1377525684 + ... + 1377598283.

Almost surely, 2^{100011000002100} is an apocalyptic number.

100011000002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011000002100 is an abundant number, since it is smaller than the sum of its proper divisors (218051531359692).

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

100011000002100 is a wasteful number, since it uses less digits than its factorization.

100011000002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755124006 (or 2755123988 counting only the distinct ones).

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

Adding to 100011000002100 its reverse (1200000110001), we get a palindrome (101211000112101).

The spelling of 100011000002100 in words is "one hundred trillion, eleven billion, two thousand, one hundred".