100133032122 has 48 divisors (see below), whose sum is σ = 217590625512. Its totient is φ = 33279966720.

The previous prime is 100133032117. The next prime is 100133032147. The reversal of 100133032122 is 221230331001.

100133032122 is a `hidden beast` number, since 10 + 0 + 1 + 330 + 321 + 2 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 73148070681 + 26984961441 = 270459^2 + 164271^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100133032095 and 100133032104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24679518 + ... + 24683574.

Almost surely, 2^100133032122 is an apocalyptic number.

100133032122 is an abundant number, since it is smaller than the sum of its proper divisors (117457593390).

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

100133032122 is a wasteful number, since it uses less digits than its factorization.

100133032122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7743 (or 7740 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100133032122 its reverse (221230331001), we get a palindrome (321363363123).

The spelling of 100133032122 in words is "one hundred billion, one hundred thirty-three million, thirty-two thousand, one hundred twenty-two".