2113887220200 has 288 divisors, whose sum is σ = 8204465505600. Its totient is φ = 477745044480.

The previous prime is 2113887220189. The next prime is 2113887220217. The reversal of 2113887220200 is 20227883112.

2113887220200 is a `hidden beast` number, since 2 + 1 + 1 + 388 + 72 + 2 + 0 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 178879 + ... + 2063921.

It is an arithmetic number, because the mean of its divisors is an integer number (28487727450).

Almost surely, 2^{2113887220200} is an apocalyptic number.

2113887220200 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 2113887220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4102232752800).

2113887220200 is an abundant number, since it is smaller than the sum of its proper divisors (6090578285400).

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

2113887220200 is a wasteful number, since it uses less digits than its factorization.

2113887220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885161 (or 1885149 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 2113887220200 in words is "two trillion, one hundred thirteen billion, eight hundred eighty-seven million, two hundred twenty thousand, two hundred".