100102122133 has 8 divisors (see below), whose sum is σ = 107956078776. Its totient is φ = 92270136000.

The previous prime is 100102122047. The next prime is 100102122139. The reversal of 100102122133 is 331221201001.

It can be written as a sum of positive squares in 4 ways, for example, as 6589705329 + 93512416804 = 81177^2 + 305798^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100102122133 - 2²⁵ = 100068567701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102122139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5483158 + ... + 5501383.

It is an arithmetic number, because the mean of its divisors is an integer number (13494509847).

Almost surely, 2^100102122133 is an apocalyptic number.

100102122133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100102122133 is a deficient number, since it is larger than the sum of its proper divisors (7853956643).

100102122133 is a wasteful number, since it uses less digits than its factorization.

100102122133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10985255.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100102122133 its reverse (331221201001), we get a palindrome (431323323134).

The spelling of 100102122133 in words is "one hundred billion, one hundred two million, one hundred twenty-two thousand, one hundred thirty-three".