2101210021120 has 288 divisors, whose sum is σ = 6100584537600. Its totient is φ = 677791825920.

The previous prime is 2101210021091. The next prime is 2101210021153. The reversal of 2101210021120 is 211200121012.

It is a super-2 number, since 2×2101210021120² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2101210021120.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 12487306 + ... + 12654454.

It is an arithmetic number, because the mean of its divisors is an integer number (21182585200).

Almost surely, 2^{2101210021120} is an apocalyptic number.

2101210021120 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 2101210021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050292268800).

2101210021120 is an abundant number, since it is smaller than the sum of its proper divisors (3999374516480).

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

2101210021120 is a wasteful number, since it uses less digits than its factorization.

2101210021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167261 (or 167247 counting only the distinct ones).

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

Adding to 2101210021120 its reverse (211200121012), we get a palindrome (2312410142132).

The spelling of 2101210021120 in words is "two trillion, one hundred one billion, two hundred ten million, twenty-one thousand, one hundred twenty".