100022133223332 has 96 divisors (see below), whose sum is σ = 273093110640000. Its totient is φ = 31571099384832.

The previous prime is 100022133223297. The next prime is 100022133223333. The reversal of 100022133223332 is 233322331220001.

100022133223332 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 2 + 2 + 1 + 3 + 322 + 3 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100022133223296 and 100022133223305.

It is not an unprimeable number, because it can be changed into a prime (100022133223333) 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, 7078857 + ... + 15816272.

It is an arithmetic number, because the mean of its divisors is an integer number (2844719902500).

Almost surely, 2^{100022133223332} is an apocalyptic number.

100022133223332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100022133223332 is an abundant number, since it is smaller than the sum of its proper divisors (173070977416668).

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

100022133223332 is a wasteful number, since it uses less digits than its factorization.

100022133223332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22897290 (or 22897282 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 100022133223332 its reverse (233322331220001), we get a palindrome (333344464443333).

The spelling of 100022133223332 in words is "one hundred trillion, twenty-two billion, one hundred thirty-three million, two hundred twenty-three thousand, three hundred thirty-two".