100132220000100 has 72 divisors (see below), whose sum is σ = 290146374686560. Its totient is φ = 26662249313280.

The previous prime is 100132220000069. The next prime is 100132220000129. The reversal of 100132220000100 is 1000022231001.

It is a super-2 number, since 2×100132220000100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247772890 + ... + 248176689.

Almost surely, 2^{100132220000100} is an apocalyptic number.

100132220000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100132220000100 is an abundant number, since it is smaller than the sum of its proper divisors (190014154686460).

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

100132220000100 is a wasteful number, since it uses less digits than its factorization.

100132220000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495950269 (or 495950262 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100132220000100 its reverse (1000022231001), we get a palindrome (101132242231101).

The spelling of 100132220000100 in words is "one hundred trillion, one hundred thirty-two billion, two hundred twenty million, one hundred", and thus it is an aban number.