101110111032 has 128 divisors (see below), whose sum is σ = 307134581760. Its totient is φ = 27111152640.

The previous prime is 101110110961. The next prime is 101110111049. The reversal of 101110111032 is 230111011101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101110110999 and 101110111017.

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 31 ways as a sum of consecutive naturals, for example, 42069 + ... + 451652.

It is an arithmetic number, because the mean of its divisors is an integer number (2399488920).

Almost surely, 2^101110111032 is an apocalyptic number.

101110111032 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 101110111032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153567290880).

101110111032 is an abundant number, since it is smaller than the sum of its proper divisors (206024470728).

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

101110111032 is a wasteful number, since it uses less digits than its factorization.

101110111032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493813 (or 493809 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 101110111032 its reverse (230111011101), we get a palindrome (331221122133).

The spelling of 101110111032 in words is "one hundred one billion, one hundred ten million, one hundred eleven thousand, thirty-two".