2011102011200 has 84 divisors (see below), whose sum is σ = 4961836296780. Its totient is φ = 802283888640.

The previous prime is 2011102011199. The next prime is 2011102011209. The reversal of 2011102011200 is 21102011102.

It can be written as a sum of positive squares in 6 ways, for example, as 28164894976 + 1982937116224 = 167824^2 + 1408168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011102011209) 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, 1088105 + ... + 2281704.

Almost surely, 2^{2011102011200} is an apocalyptic number.

2011102011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011102011200 is an abundant number, since it is smaller than the sum of its proper divisors (2950734285580).

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

2011102011200 is a wasteful number, since it uses less digits than its factorization.

2011102011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370204 (or 3370189 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2011102011200 its reverse (21102011102), we get a palindrome (2032204022302).

The spelling of 2011102011200 in words is "two trillion, eleven billion, one hundred two million, eleven thousand, two hundred".