2011011216160 has 48 divisors (see below), whose sum is σ = 4751181312696. Its totient is φ = 804376158208.

The previous prime is 2011011216133. The next prime is 2011011216251. The reversal of 2011011216160 is 616121101102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1849088675344 + 161922540816 = 1359812^2 + 402396^2 .

It is a super-2 number, since 2×2011011216160² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4673454 + ... + 5085586.

Almost surely, 2^{2011011216160} is an apocalyptic number.

2011011216160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011011216160 is an abundant number, since it is smaller than the sum of its proper divisors (2740170096536).

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

2011011216160 is a wasteful number, since it uses less digits than its factorization.

2011011216160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442645 (or 442637 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

Adding to 2011011216160 its reverse (616121101102), we get a palindrome (2627132317262).

The spelling of 2011011216160 in words is "two trillion, eleven billion, eleven million, two hundred sixteen thousand, one hundred sixty".