201116340645120 has 108 divisors (see below), whose sum is σ = 695841589053156. Its totient is φ = 53631024168960.

The previous prime is 201116340645119. The next prime is 201116340645127. The reversal of 201116340645120 is 21546043611102.

201116340645120 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 1 + 6 + 3 + 4 + 0 + 645 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98859590009856 + 102256750635264 = 9942816^2 + 10112208^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201116340645127) 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, 8728996321 + ... + 8729019360.

Almost surely, 2^{201116340645120} is an apocalyptic number.

201116340645120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201116340645120 is an abundant number, since it is smaller than the sum of its proper divisors (494725248408036).

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

201116340645120 is a wasteful number, since it uses less digits than its factorization.

201116340645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17458015708 (or 17458015691 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 201116340645120 in words is "two hundred one trillion, one hundred sixteen billion, three hundred forty million, six hundred forty-five thousand, one hundred twenty".