2101200022120 has 128 divisors (see below), whose sum is σ = 4831868764800. Its totient is φ = 822153378816.

The previous prime is 2101200022091. The next prime is 2101200022127. The reversal of 2101200022120 is 212200021012.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2101200022120.

It is not an unprimeable number, because it can be changed into a prime (2101200022127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297237946 + ... + 297245014.

It is an arithmetic number, because the mean of its divisors is an integer number (37748974725).

Almost surely, 2^{2101200022120} is an apocalyptic number.

2101200022120 is a gapful number since it is divisible by the number (20) 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 2101200022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415934382400).

2101200022120 is an abundant number, since it is smaller than the sum of its proper divisors (2730668742680).

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

2101200022120 is a wasteful number, since it uses less digits than its factorization.

2101200022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7907 (or 7903 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2101200022120 its reverse (212200021012), we get a palindrome (2313400043132).

The spelling of 2101200022120 in words is "two trillion, one hundred one billion, two hundred million, twenty-two thousand, one hundred twenty".