2011120100118 has 128 divisors (see below), whose sum is σ = 4716881510400. Its totient is φ = 633404772000.

The previous prime is 2011120100117. The next prime is 2011120100167. The reversal of 2011120100118 is 8110010211102.

It is a super-2 number, since 2×2011120100118² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2011120100118.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011120100117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1030814043 + ... + 1030815993.

It is an arithmetic number, because the mean of its divisors is an integer number (36850636800).

Almost surely, 2^{2011120100118} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011120100118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358440755200).

2011120100118 is an abundant number, since it is smaller than the sum of its proper divisors (2705761410282).

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

2011120100118 is a wasteful number, since it uses less digits than its factorization.

2011120100118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4135 (or 4129 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

The spelling of 2011120100118 in words is "two trillion, eleven billion, one hundred twenty million, one hundred thousand, one hundred eighteen".