101112011232 has 96 divisors (see below), whose sum is σ = 270001670400. Its totient is φ = 33124405248.

The previous prime is 101112011227. The next prime is 101112011303. The reversal of 101112011232 is 232110211101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2805744 + ... + 2841552.

It is an arithmetic number, because the mean of its divisors is an integer number (2812517400).

Almost surely, 2^101112011232 is an apocalyptic number.

101112011232 is a gapful number since it is divisible by the number (12) 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 101112011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135000835200).

101112011232 is an abundant number, since it is smaller than the sum of its proper divisors (168889659168).

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

101112011232 is a wasteful number, since it uses less digits than its factorization.

101112011232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36328 (or 36320 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101112011232 its reverse (232110211101), we get a palindrome (333222222333).

The spelling of 101112011232 in words is "one hundred one billion, one hundred twelve million, eleven thousand, two hundred thirty-two".