101231112132 has 36 divisors (see below), whose sum is σ = 256289018076. Its totient is φ = 33691054080.

The previous prime is 101231112127. The next prime is 101231112133. The reversal of 101231112132 is 231211132101.

It can be written as a sum of positive squares in 2 ways, for example, as 50581809216 + 50649302916 = 224904^2 + 225054^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (101231112133) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2170353 + ... + 2216504.

It is an arithmetic number, because the mean of its divisors is an integer number (7119139391).

Almost surely, 2^101231112132 is an apocalyptic number.

101231112132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101231112132 is an abundant number, since it is smaller than the sum of its proper divisors (155057905944).

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

101231112132 is a wasteful number, since it uses less digits than its factorization.

101231112132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4387508 (or 4387503 counting only the distinct ones).

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

Adding to 101231112132 its reverse (231211132101), we get a palindrome (332442244233).

The spelling of 101231112132 in words is "one hundred one billion, two hundred thirty-one million, one hundred twelve thousand, one hundred thirty-two".