100201332322320 has 240 divisors, whose sum is σ = 335563703709120. Its totient is φ = 24722321727488.

The previous prime is 100201332322213. The next prime is 100201332322349. The reversal of 100201332322320 is 23223233102001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8150607 + ... + 16335086.

It is an arithmetic number, because the mean of its divisors is an integer number (1398182098788).

Almost surely, 2^{100201332322320} is an apocalyptic number.

100201332322320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201332322320 is an abundant number, since it is smaller than the sum of its proper divisors (235362371386800).

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

100201332322320 is a wasteful number, since it uses less digits than its factorization.

100201332322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24485802 (or 24485779 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 100201332322320 its reverse (23223233102001), we get a palindrome (123424565424321).

The spelling of 100201332322320 in words is "one hundred trillion, two hundred one billion, three hundred thirty-two million, three hundred twenty-two thousand, three hundred twenty".