101331310442172 has 24 divisors (see below), whose sum is σ = 236692061343696. Its totient is φ = 33741055340928.

The previous prime is 101331310442171. The next prime is 101331310442209. The reversal of 101331310442172 is 271244013133101.

It is a super-3 number, since 3×101331310442172³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331310442171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4506005763 + ... + 4506028250.

It is an arithmetic number, because the mean of its divisors is an integer number (9862169222654).

Almost surely, 2^{101331310442172} is an apocalyptic number.

101331310442172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101331310442172 is an abundant number, since it is smaller than the sum of its proper divisors (135360750901524).

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

101331310442172 is a wasteful number, since it uses less digits than its factorization.

101331310442172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9012034957 (or 9012034955 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

Adding to 101331310442172 its reverse (271244013133101), we get a palindrome (372575323575273).

The spelling of 101331310442172 in words is "one hundred one trillion, three hundred thirty-one billion, three hundred ten million, four hundred forty-two thousand, one hundred seventy-two".