2110001012120 has 128 divisors (see below), whose sum is σ = 5087187504000. Its totient is φ = 785682923520.

The previous prime is 2110001012111. The next prime is 2110001012137. The reversal of 2110001012120 is 212101000112.

It is a super-2 number, since 2×2110001012120² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 15359096 + ... + 15495864.

It is an arithmetic number, because the mean of its divisors is an integer number (39743652375).

Almost surely, 2^{2110001012120} is an apocalyptic number.

2110001012120 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 2110001012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543593752000).

2110001012120 is an abundant number, since it is smaller than the sum of its proper divisors (2977186491880).

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

2110001012120 is a wasteful number, since it uses less digits than its factorization.

2110001012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137253 (or 137249 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2110001012120 its reverse (212101000112), we get a palindrome (2322102012232).

The spelling of 2110001012120 in words is "two trillion, one hundred ten billion, one million, twelve thousand, one hundred twenty".