111010100985 has 72 divisors (see below), whose sum is σ = 224125616520. Its totient is φ = 50681046528.

The previous prime is 111010100977. The next prime is 111010100987. The reversal of 111010100985 is 589001010111.

It can be written as a sum of positive squares in 4 ways, for example, as 3908375289 + 107101725696 = 62517^2 + 327264^2 .

It is not a de Polignac number, because 111010100985 - 2³ = 111010100977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (111010100987) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1671901 + ... + 1737029.

It is an arithmetic number, because the mean of its divisors is an integer number (3112855785).

Almost surely, 2^111010100985 is an apocalyptic number.

111010100985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

111010100985 is an abundant number, since it is smaller than the sum of its proper divisors (113115515535).

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

111010100985 is a wasteful number, since it uses less digits than its factorization.

111010100985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65927 (or 65917 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 27.

The spelling of 111010100985 in words is "one hundred eleven billion, ten million, one hundred thousand, nine hundred eighty-five".