101113110 has 160 divisors (see below), whose sum is σ = 329313600. Its totient is φ = 21731328.

The previous prime is 101113097. The next prime is 101113123. The reversal of 101113110 is 11311101.

It is an interprime number because it is at equal distance from previous prime (101113097) and next prime (101113123).

It is a super-2 number, since 2×101113110² = 20447722027744200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101113092 and 101113101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 95866 + ... + 96914.

It is an arithmetic number, because the mean of its divisors is an integer number (2058210).

Almost surely, 2^101113110 is an apocalyptic number.

101113110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101113110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164656800).

101113110 is an abundant number, since it is smaller than the sum of its proper divisors (228200490).

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

101113110 is a wasteful number, since it uses less digits than its factorization.

101113110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

The square root of 101113110 is about 10055.5014792898. The cubic root of 101113110 is about 465.8747322425.

Adding to 101113110 its reverse (11311101), we get a palindrome (112424211).

The spelling of 101113110 in words is "one hundred one million, one hundred thirteen thousand, one hundred ten".