100231011132120 has 384 divisors, whose sum is σ = 370999530720000. Its totient is φ = 24135346414080.

The previous prime is 100231011132113. The next prime is 100231011132143. The reversal of 100231011132120 is 21231110132001.

100231011132120 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 310 + 1 + 11 + 321 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100231011132093 and 100231011132102.

It is a congruent number.

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, 12785311 + ... + 19076849.

It is an arithmetic number, because the mean of its divisors is an integer number (966144611250).

Almost surely, 2^{100231011132120} is an apocalyptic number.

100231011132120 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 100231011132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185499765360000).

100231011132120 is an abundant number, since it is smaller than the sum of its proper divisors (270768519587880).

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

100231011132120 is a wasteful number, since it uses less digits than its factorization.

100231011132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6291725 (or 6291709 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 100231011132120 its reverse (21231110132001), we get a palindrome (121462121264121).

The spelling of 100231011132120 in words is "one hundred trillion, two hundred thirty-one billion, eleven million, one hundred thirty-two thousand, one hundred twenty".