100021232232072 has 48 divisors (see below), whose sum is σ = 270893356032780. Its totient is φ = 33340100745600.

The previous prime is 100021232232071. The next prime is 100021232232107. The reversal of 100021232232072 is 270232232120001.

100021232232072 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 2 + 12 + 322 + 320 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69511671817956 + 30509560414116 = 8337366^2 + 5523546^2 .

It is not an unprimeable number, because it can be changed into a prime (100021232232071) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1405122 + ... + 14213262.

Almost surely, 2^{100021232232072} is an apocalyptic number.

100021232232072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100021232232072 is an abundant number, since it is smaller than the sum of its proper divisors (170872123800708).

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

100021232232072 is a wasteful number, since it uses less digits than its factorization.

100021232232072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12916614 (or 12916607 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 100021232232072 its reverse (270232232120001), we get a palindrome (370253464352073).

The spelling of 100021232232072 in words is "one hundred trillion, twenty-one billion, two hundred thirty-two million, two hundred thirty-two thousand, seventy-two".