100332000021 has 32 divisors (see below), whose sum is σ = 146411006976. Its totient is φ = 60610304000.

The previous prime is 100331999951. The next prime is 100332000023. The reversal of 100332000021 is 120000233001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100332000021 - 2¹⁰ = 100331998997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100331999970 and 100332000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100332000023) 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 31 ways as a sum of consecutive naturals, for example, 13682326 + ... + 13689656.

It is an arithmetic number, because the mean of its divisors is an integer number (4575343968).

Almost surely, 2^100332000021 is an apocalyptic number.

100332000021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100332000021 is a deficient number, since it is larger than the sum of its proper divisors (46079006955).

100332000021 is a wasteful number, since it uses less digits than its factorization.

100332000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8633.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100332000021 its reverse (120000233001), we get a palindrome (220332233022).

The spelling of 100332000021 in words is "one hundred billion, three hundred thirty-two million, twenty-one", and thus it is an aban number.