2102202311112 has 80 divisors (see below), whose sum is σ = 5892294444300. Its totient is φ = 700236472320.

The previous prime is 2102202311093. The next prime is 2102202311147. The reversal of 2102202311112 is 2111132022012.

2102202311112 is a `hidden beast` number, since 21 + 0 + 220 + 2 + 311 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2083305409956 + 18896901156 = 1443366^2 + 137466^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 238189 + ... + 2064252.

Almost surely, 2^{2102202311112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102202311112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946147222150).

2102202311112 is an abundant number, since it is smaller than the sum of its proper divisors (3790092133188).

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

2102202311112 is a wasteful number, since it uses less digits than its factorization.

2102202311112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303868 (or 2303855 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2102202311112 its reverse (2111132022012), we get a palindrome (4213334333124).

The spelling of 2102202311112 in words is "two trillion, one hundred two billion, two hundred two million, three hundred eleven thousand, one hundred twelve".