100231022133120 has 128 divisors (see below), whose sum is σ = 319620804999840. Its totient is φ = 26717026811904.

The previous prime is 100231022133113. The next prime is 100231022133127. The reversal of 100231022133120 is 21331220132001.

It is an interprime number because it is at equal distance from previous prime (100231022133113) and next prime (100231022133127).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100231022133127) 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 15 ways as a sum of consecutive naturals, for example, 6417157 + ... + 15544836.

Almost surely, 2^{100231022133120} is an apocalyptic number.

100231022133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100231022133120 is an abundant number, since it is smaller than the sum of its proper divisors (219389782866720).

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

100231022133120 is a wasteful number, since it uses less digits than its factorization.

100231022133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21964392 (or 21964380 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 100231022133120 its reverse (21331220132001), we get a palindrome (121562242265121).

The spelling of 100231022133120 in words is "one hundred trillion, two hundred thirty-one billion, twenty-two million, one hundred thirty-three thousand, one hundred twenty".