10133104102100 has 54 divisors (see below), whose sum is σ = 25578849938670. Its totient is φ = 3474207119040.

The previous prime is 10133104102073. The next prime is 10133104102193. The reversal of 10133104102100 is 120140133101.

It can be written as a sum of positive squares in 3 ways, for example, as 3207301319236 + 6925802782864 = 1790894^2 + 2631692^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1033985315 + ... + 1033995114.

Almost surely, 2^{10133104102100} is an apocalyptic number.

10133104102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10133104102100 is an abundant number, since it is smaller than the sum of its proper divisors (15445745836570).

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

10133104102100 is a wasteful number, since it uses less digits than its factorization.

10133104102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067980457 (or 2067980443 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10133104102100 its reverse (120140133101), we get a palindrome (10253244235201).

The spelling of 10133104102100 in words is "ten trillion, one hundred thirty-three billion, one hundred four million, one hundred two thousand, one hundred".