111011010100164 has 36 divisors (see below), whose sum is σ = 280615153560924. Its totient is φ = 37003143992832.

The previous prime is 111011010100163. The next prime is 111011010100181. The reversal of 111011010100164 is 461001010110111.

It can be written as a sum of positive squares in 2 ways, for example, as 11560054400064 + 99450955700100 = 3400008^2 + 9972510^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (111011010100163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19346677 + ... + 24419580.

Almost surely, 2^{111011010100164} is an apocalyptic number.

It is an amenable number.

111011010100164 is an abundant number, since it is smaller than the sum of its proper divisors (169604143460760).

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

111011010100164 is a wasteful number, since it uses less digits than its factorization.

111011010100164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43836724 (or 43836719 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 111011010100164 its reverse (461001010110111), we get a palindrome (572012020210275).

The spelling of 111011010100164 in words is "one hundred eleven trillion, eleven billion, ten million, one hundred thousand, one hundred sixty-four".