2100133101 has 16 divisors (see below), whose sum is σ = 3119735808. Its totient is φ = 1245726000.

The previous prime is 2100133093. The next prime is 2100133117. The reversal of 2100133101 is 1013310012.

It is not a de Polignac number, because 2100133101 - 2³ = 2100133093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100133121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 675475 + ... + 678576.

It is an arithmetic number, because the mean of its divisors is an integer number (194983488).

Almost surely, 2^2100133101 is an apocalyptic number.

It is an amenable number.

2100133101 is a deficient number, since it is larger than the sum of its proper divisors (1019602707).

2100133101 is a wasteful number, since it uses less digits than its factorization.

2100133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354112.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 2100133101 is about 45827.2091775181. The cubic root of 2100133101 is about 1280.6062193949.

Adding to 2100133101 its reverse (1013310012), we get a palindrome (3113443113).

Subtracting from 2100133101 its reverse (1013310012), we obtain a square (1086823089 = 32967²).

The spelling of 2100133101 in words is "two billion, one hundred million, one hundred thirty-three thousand, one hundred one".