101314116 has 72 divisors (see below), whose sum is σ = 265827744. Its totient is φ = 32511360.

The previous prime is 101314097. The next prime is 101314183. The reversal of 101314116 is 611413101.

It is a super-2 number, since 2×101314116² = 20529100201722912, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122095 + ... + 122921.

It is an arithmetic number, because the mean of its divisors is an integer number (3692052).

Almost surely, 2^101314116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101314116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132913872).

101314116 is an abundant number, since it is smaller than the sum of its proper divisors (164513628).

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

101314116 is a wasteful number, since it uses less digits than its factorization.

101314116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 956 counting only the distinct ones).

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

The square root of 101314116 is about 10065.4913441918. The cubic root of 101314116 is about 466.1832370199.

Adding to 101314116 its reverse (611413101), we get a palindrome (712727217).

It can be divided in two parts, 1013 and 14116, that added together give a square (15129 = 123²).

The spelling of 101314116 in words is "one hundred one million, three hundred fourteen thousand, one hundred sixteen".