2100120222112 has 72 divisors (see below), whose sum is σ = 4562341469028. Its totient is φ = 950885253120.

The previous prime is 2100120222043. The next prime is 2100120222131. The reversal of 2100120222112 is 2112220210012.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2094399417616 + 5720804496 = 1447204^2 + 75636^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 60123 + ... + 2050330.

Almost surely, 2^{2100120222112} is an apocalyptic number.

2100120222112 is a gapful number since it is divisible by the number (22) 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 2100120222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281170734514).

2100120222112 is an abundant number, since it is smaller than the sum of its proper divisors (2462221246916).

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

2100120222112 is a wasteful number, since it uses less digits than its factorization.

2100120222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110742 (or 2110723 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2100120222112 its reverse (2112220210012), we get a palindrome (4212340432124).

It can be divided in two parts, 2100120 and 222112, that added together give a palindrome (2322232).

The spelling of 2100120222112 in words is "two trillion, one hundred billion, one hundred twenty million, two hundred twenty-two thousand, one hundred twelve".