10000102100133 has 32 divisors (see below), whose sum is σ = 13433448188160. Its totient is φ = 6616873464320.

The previous prime is 10000102100123. The next prime is 10000102100141. The reversal of 10000102100133 is 33100120100001.

It is a cyclic number.

It is not a de Polignac number, because 10000102100133 - 2⁴ = 10000102100117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000102100123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1059664891 + ... + 1059674327.

It is an arithmetic number, because the mean of its divisors is an integer number (419795255880).

Almost surely, 2^{10000102100133} is an apocalyptic number.

It is an amenable number.

10000102100133 is a deficient number, since it is larger than the sum of its proper divisors (3433346088027).

10000102100133 is a wasteful number, since it uses less digits than its factorization.

10000102100133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12557.

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

Adding to 10000102100133 its reverse (33100120100001), we get a palindrome (43100222200134).

The spelling of 10000102100133 in words is "ten trillion, one hundred two million, one hundred thousand, one hundred thirty-three".