2102100133 has 16 divisors (see below), whose sum is σ = 2548969344. Its totient is φ = 1692311040.

The previous prime is 2102100127. The next prime is 2102100139. The reversal of 2102100133 is 3310012012.

It is an interprime number because it is at equal distance from previous prime (2102100127) and next prime (2102100139).

It is not a de Polignac number, because 2102100133 - 2²⁵ = 2068545701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102100139) 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, 40441 + ... + 76417.

It is an arithmetic number, because the mean of its divisors is an integer number (159310584).

Almost surely, 2^2102100133 is an apocalyptic number.

It is an amenable number.

2102100133 is a deficient number, since it is larger than the sum of its proper divisors (446869211).

2102100133 is a wasteful number, since it uses less digits than its factorization.

2102100133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36492.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2102100133 is about 45848.6655530998. The cubic root of 2102100133 is about 1281.0059095180.

Adding to 2102100133 its reverse (3310012012), we get a palindrome (5412112145).

The spelling of 2102100133 in words is "two billion, one hundred two million, one hundred thousand, one hundred thirty-three".