101031102120032 has 48 divisors (see below), whose sum is σ = 227321325729792. Its totient is φ = 43298787392640.

The previous prime is 101031102120019. The next prime is 101031102120041. The reversal of 101031102120032 is 230021201130101.

It is a super-3 number, since 3×101031102120032³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39340307 + ... + 41829677.

It is an arithmetic number, because the mean of its divisors is an integer number (4735860952704).

Almost surely, 2^{101031102120032} is an apocalyptic number.

It is an amenable number.

101031102120032 is an abundant number, since it is smaller than the sum of its proper divisors (126290223609760).

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

101031102120032 is a wasteful number, since it uses less digits than its factorization.

101031102120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670571 (or 2670563 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101031102120032 its reverse (230021201130101), we get a palindrome (331052303250133).

The spelling of 101031102120032 in words is "one hundred one trillion, thirty-one billion, one hundred two million, one hundred twenty thousand, thirty-two".