2110100120000 has 140 divisors (see below), whose sum is σ = 5306064903216. Its totient is φ = 832151040000.

The previous prime is 2110100119993. The next prime is 2110100120027. The reversal of 2110100120000 is 210010112.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 2110100120000.

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 19 ways as a sum of consecutive naturals, for example, 2468504 + ... + 3211496.

Almost surely, 2^{2110100120000} is an apocalyptic number.

2110100120000 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 2110100120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653032451608).

2110100120000 is an abundant number, since it is smaller than the sum of its proper divisors (3195964783216).

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

2110100120000 is an frugal number, since it uses more digits than its factorization.

2110100120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743096 (or 743071 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2110100120000 its reverse (210010112), we get a palindrome (2110310130112).

The spelling of 2110100120000 in words is "two trillion, one hundred ten billion, one hundred million, one hundred twenty thousand".