101118256416 has 144 divisors (see below), whose sum is σ = 299932948224. Its totient is φ = 33510806784.

The previous prime is 101118256403. The next prime is 101118256457. The reversal of 101118256416 is 614652811101.

101118256416 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 1 + 8 + 2 + 5 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×101118256416² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1307665 + ... + 1382831.

It is an arithmetic number, because the mean of its divisors is an integer number (2082867696).

Almost surely, 2^101118256416 is an apocalyptic number.

101118256416 is a gapful number since it is divisible by the number (16) 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 101118256416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149966474112).

101118256416 is an abundant number, since it is smaller than the sum of its proper divisors (198814691808).

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

101118256416 is an equidigital number, since it uses as much as digits as its factorization.

101118256416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75365 (or 75345 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 101118256416 in words is "one hundred one billion, one hundred eighteen million, two hundred fifty-six thousand, four hundred sixteen".