100133132022 has 96 divisors (see below), whose sum is σ = 270826882560. Its totient is φ = 25976165760.

The previous prime is 100133131949. The next prime is 100133132039. The reversal of 100133132022 is 220231331001.

100133132022 is a `hidden beast` number, since 10 + 0 + 1 + 331 + 320 + 2 + 2 = 666.

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 = 100133131986 and 100133132004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1076623 + ... + 1165925.

It is an arithmetic number, because the mean of its divisors is an integer number (2821113360).

Almost surely, 2^100133132022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100133132022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135413441280).

100133132022 is an abundant number, since it is smaller than the sum of its proper divisors (170693750538).

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

100133132022 is a wasteful number, since it uses less digits than its factorization.

100133132022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90138 (or 90135 counting only the distinct ones).

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

Adding to 100133132022 its reverse (220231331001), we get a palindrome (320364463023).

The spelling of 100133132022 in words is "one hundred billion, one hundred thirty-three million, one hundred thirty-two thousand, twenty-two".