100131022100000 has 576 divisors, whose sum is σ = 259542380224512. Its totient is φ = 37951119360000.

The previous prime is 100131022099987. The next prime is 100131022100059. The reversal of 100131022100000 is 1220131001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 173537299712 + ... + 173537300288.

It is an arithmetic number, because the mean of its divisors is an integer number (450594410112).

Almost surely, 2^{100131022100000} is an apocalyptic number.

100131022100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100131022100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129771190112256).

100131022100000 is an abundant number, since it is smaller than the sum of its proper divisors (159411358124512).

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

100131022100000 is an equidigital number, since it uses as much as digits as its factorization.

100131022100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100131022100000 its reverse (1220131001), we get a palindrome (100132242231001).

The spelling of 100131022100000 in words is "one hundred trillion, one hundred thirty-one billion, twenty-two million, one hundred thousand".