100232122321331 has 32 divisors (see below), whose sum is σ = 140428586124288. Its totient is φ = 68960466368640.

The previous prime is 100232122321327. The next prime is 100232122321337. The reversal of 100232122321331 is 133123221232001.

It is not a de Polignac number, because 100232122321331 - 2² = 100232122321327 is a prime.

It is a super-2 number, since 2×100232122321331² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100232122321331.

It is not an unprimeable number, because it can be changed into a prime (100232122321337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2176759376 + ... + 2176805421.

It is an arithmetic number, because the mean of its divisors is an integer number (4388393316384).

Almost surely, 2^{100232122321331} is an apocalyptic number.

100232122321331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100232122321331 is a deficient number, since it is larger than the sum of its proper divisors (40196463802957).

100232122321331 is a wasteful number, since it uses less digits than its factorization.

100232122321331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4353564851.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 100232122321331 its reverse (133123221232001), we get a palindrome (233355343553332).

The spelling of 100232122321331 in words is "one hundred trillion, two hundred thirty-two billion, one hundred twenty-two million, three hundred twenty-one thousand, three hundred thirty-one".