101031001332120 has 384 divisors, whose sum is σ = 349578144489600. Its totient is φ = 25217387200512.

The previous prime is 101031001332073. The next prime is 101031001332143. The reversal of 101031001332120 is 21233100130101.

101031001332120 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 310 + 0 + 1 + 332 + 1 + 20 = 666.

101031001332120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 101031001332093 and 101031001332102.

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, 4279330876 + ... + 4279354484.

It is an arithmetic number, because the mean of its divisors is an integer number (910359751275).

Almost surely, 2^{101031001332120} is an apocalyptic number.

101031001332120 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 101031001332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174789072244800).

101031001332120 is an abundant number, since it is smaller than the sum of its proper divisors (248547143157480).

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

101031001332120 is a wasteful number, since it uses less digits than its factorization.

101031001332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27459 (or 27452 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101031001332120 its reverse (21233100130101), we get a palindrome (122264101462221).

The spelling of 101031001332120 in words is "one hundred one trillion, thirty-one billion, one million, three hundred thirty-two thousand, one hundred twenty".