10011101002100 has 72 divisors (see below), whose sum is σ = 23699628730848. Its totient is φ = 3640304764800.

The previous prime is 10011101002099. The next prime is 10011101002127. The reversal of 10011101002100 is 120010111001.

It is a happy number.

10011101002100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52190567 + ... + 52382033.

Almost surely, 2^{10011101002100} is an apocalyptic number.

10011101002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011101002100 is an abundant number, since it is smaller than the sum of its proper divisors (13688527728748).

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

10011101002100 is a wasteful number, since it uses less digits than its factorization.

10011101002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239025 (or 239018 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10011101002100 its reverse (120010111001), we get a palindrome (10131111113101).

The spelling of 10011101002100 in words is "ten trillion, eleven billion, one hundred one million, two thousand, one hundred".