101206031772 has 96 divisors (see below), whose sum is σ = 245712499200. Its totient is φ = 32395652352.

The previous prime is 101206031743. The next prime is 101206031777. The reversal of 101206031772 is 277130602101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101206031777) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10672129 + ... + 10681607.

It is an arithmetic number, because the mean of its divisors is an integer number (2559505200).

Almost surely, 2^101206031772 is an apocalyptic number.

101206031772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101206031772 is an abundant number, since it is smaller than the sum of its proper divisors (144506467428).

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

101206031772 is a wasteful number, since it uses less digits than its factorization.

101206031772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9835 (or 9833 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

Adding to 101206031772 its reverse (277130602101), we get a palindrome (378336633873).

The spelling of 101206031772 in words is "one hundred one billion, two hundred six million, thirty-one thousand, seven hundred seventy-two".