2100112200 has 72 divisors (see below), whose sum is σ = 7052882850. Its totient is φ = 560029440.

The previous prime is 2100112117. The next prime is 2100112207. The reversal of 2100112200 is 22110012.

2100112200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1824485796 + 275626404 = 42714^2 + 16602^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×2100112200³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2100112207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 581565 + ... + 585164.

Almost surely, 2^2100112200 is an apocalyptic number.

2100112200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100112200 is an abundant number, since it is smaller than the sum of its proper divisors (4952770650).

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

2100112200 is a wasteful number, since it uses less digits than its factorization.

2100112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166751 (or 1166739 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2100112200 is about 45826.9811355712. The cubic root of 2100112200 is about 1280.6019710865.

Adding to 2100112200 its reverse (22110012), we get a palindrome (2122222212).

The spelling of 2100112200 in words is "two billion, one hundred million, one hundred twelve thousand, two hundred".