2011616212100 has 72 divisors (see below), whose sum is σ = 4763783640000. Its totient is φ = 731229609600.

The previous prime is 2011616212093. The next prime is 2011616212171. The reversal of 2011616212100 is 12126161102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2691281 + ... + 3356519.

Almost surely, 2^{2011616212100} is an apocalyptic number.

2011616212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011616212100 is an abundant number, since it is smaller than the sum of its proper divisors (2752167427900).

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

2011616212100 is a wasteful number, since it uses less digits than its factorization.

2011616212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668013 (or 668006 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 2011616212100 in words is "two trillion, eleven billion, six hundred sixteen million, two hundred twelve thousand, one hundred".