2110112020000 has 180 divisors, whose sum is σ = 5212246492530. Its totient is φ = 840634368000.

The previous prime is 2110112019959. The next prime is 2110112020013. The reversal of 2110112020000 is 202110112.

It can be written as a sum of positive squares in 15 ways, for example, as 1886106702736 + 224005317264 = 1373356^2 + 473292^2 .

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 polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2271379536 + ... + 2271380464.

Almost surely, 2^{2110112020000} is an apocalyptic number.

2110112020000 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 2110112020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606123246265).

2110112020000 is an abundant number, since it is smaller than the sum of its proper divisors (3102134472530).

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

2110112020000 is an frugal number, since it uses more digits than its factorization.

2110112020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1273 counting only the distinct ones).

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

Adding to 2110112020000 its reverse (202110112), we get a palindrome (2110314130112).

The spelling of 2110112020000 in words is "two trillion, one hundred ten billion, one hundred twelve million, twenty thousand".