2110110102120 has 128 divisors (see below), whose sum is σ = 6562182729600. Its totient is φ = 542371193856.

The previous prime is 2110110102053. The next prime is 2110110102197. The reversal of 2110110102120 is 212010110112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2110110102096 and 2110110102105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1745715 + ... + 2695874.

It is an arithmetic number, because the mean of its divisors is an integer number (51267052575).

Almost surely, 2^{2110110102120} is an apocalyptic number.

2110110102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2110110102120 is an abundant number, since it is smaller than the sum of its proper divisors (4452072627480).

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

2110110102120 is a wasteful number, since it uses less digits than its factorization.

2110110102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4441747 (or 4441743 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2110110102120 its reverse (212010110112), we get a palindrome (2322120212232).

The spelling of 2110110102120 in words is "two trillion, one hundred ten billion, one hundred ten million, one hundred two thousand, one hundred twenty".