2110120210000 has 300 divisors, whose sum is σ = 5628257955936. Its totient is φ = 765570080000.

The previous prime is 2110120209983. The next prime is 2110120210013. The reversal of 2110120210000 is 120210112.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 59 ways as a sum of consecutive naturals, for example, 608628267 + ... + 608631733.

Almost surely, 2^{2110120210000} is an apocalyptic number.

2110120210000 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 2110120210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814128977968).

2110120210000 is an abundant number, since it is smaller than the sum of its proper divisors (3518137745936).

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

2110120210000 is a wasteful number, since it uses less digits than its factorization.

2110120210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4020 (or 3988 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2110120210000 its reverse (120210112), we get a palindrome (2110240420112).

The spelling of 2110120210000 in words is "two trillion, one hundred ten billion, one hundred twenty million, two hundred ten thousand".