10100212133 has 16 divisors (see below), whose sum is σ = 11440828800. Its totient is φ = 8832358080.

The previous prime is 10100212093. The next prime is 10100212141. The reversal of 10100212133 is 33121200101.

It is a cyclic number.

It is not a de Polignac number, because 10100212133 - 2⁶ = 10100212069 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 (10100212333) 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, 26960 + ... + 144662.

It is an arithmetic number, because the mean of its divisors is an integer number (715051800).

Almost surely, 2^10100212133 is an apocalyptic number.

It is an amenable number.

10100212133 is a deficient number, since it is larger than the sum of its proper divisors (1340616667).

10100212133 is a wasteful number, since it uses less digits than its factorization.

10100212133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118012.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10100212133 its reverse (33121200101), we get a palindrome (43221412234).

The spelling of 10100212133 in words is "ten billion, one hundred million, two hundred twelve thousand, one hundred thirty-three".