2101200121120 has 48 divisors (see below), whose sum is σ = 4992779486520. Its totient is φ = 835621771264.

The previous prime is 2101200121117. The next prime is 2101200121169. The reversal of 2101200121120 is 211210021012.

It can be written as a sum of positive squares in 4 ways, for example, as 1927754526096 + 173445595024 = 1388436^2 + 416468^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2101200121120.

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 7 ways as a sum of consecutive naturals, for example, 37927525 + ... + 37982884.

Almost surely, 2^{2101200121120} is an apocalyptic number.

2101200121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101200121120 is an abundant number, since it is smaller than the sum of its proper divisors (2891579365400).

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

2101200121120 is a wasteful number, since it uses less digits than its factorization.

2101200121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75910597 (or 75910589 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2101200121120 its reverse (211210021012), we get a palindrome (2312410142132).

The spelling of 2101200121120 in words is "two trillion, one hundred one billion, two hundred million, one hundred twenty-one thousand, one hundred twenty".