2100112101200 has 60 divisors (see below), whose sum is σ = 5047018420668. Its totient is φ = 839795251200.

The previous prime is 2100112101161. The next prime is 2100112101247. The reversal of 2100112101200 is 21012110012.

It can be written as a sum of positive squares in 6 ways, for example, as 510555979024 + 1589556122176 = 714532^2 + 1260776^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 570920 + ... + 2127480.

Almost surely, 2^{2100112101200} is an apocalyptic number.

2100112101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100112101200 is an abundant number, since it is smaller than the sum of its proper divisors (2946906319468).

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

2100112101200 is a wasteful number, since it uses less digits than its factorization.

2100112101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559952 (or 1559941 counting only the distinct ones).

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

Adding to 2100112101200 its reverse (21012110012), we get a palindrome (2121124211212).

The spelling of 2100112101200 in words is "two trillion, one hundred billion, one hundred twelve million, one hundred one thousand, two hundred".