2011117165700 has 72 divisors (see below), whose sum is σ = 4447228249800. Its totient is φ = 789133363200.

The previous prime is 2011117165657. The next prime is 2011117165703. The reversal of 2011117165700 is 75617111102.

It can be written as a sum of positive squares in 12 ways, for example, as 76035856516 + 1935081309184 = 275746^2 + 1391072^2 .

It is not an unprimeable number, because it can be changed into a prime (2011117165703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34320026 + ... + 34378574.

It is an arithmetic number, because the mean of its divisors is an integer number (61767059025).

Almost surely, 2^{2011117165700} is an apocalyptic number.

2011117165700 is a gapful number since it is divisible by the number (20) 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 2011117165700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223614124900).

2011117165700 is an abundant number, since it is smaller than the sum of its proper divisors (2436111084100).

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

2011117165700 is a wasteful number, since it uses less digits than its factorization.

2011117165700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65097 (or 65090 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 32.

The spelling of 2011117165700 in words is "two trillion, eleven billion, one hundred seventeen million, one hundred sixty-five thousand, seven hundred".