2110520106100 has 108 divisors (see below), whose sum is σ = 5328848746956. Its totient is φ = 723431278080.

The previous prime is 2110520106067. The next prime is 2110520106133. The reversal of 2110520106100 is 16010250112.

It is an interprime number because it is at equal distance from previous prime (2110520106067) and next prime (2110520106133).

It can be written as a sum of positive squares in 6 ways, for example, as 277480311696 + 1833039794404 = 526764^2 + 1353898^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21005182 + ... + 21105418.

Almost surely, 2^{2110520106100} is an apocalyptic number.

2110520106100 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 2110520106100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664424373478).

2110520106100 is an abundant number, since it is smaller than the sum of its proper divisors (3218328640856).

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

2110520106100 is a wasteful number, since it uses less digits than its factorization.

2110520106100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104562 (or 104548 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 2110520106100 its reverse (16010250112), we get a palindrome (2126530356212).

The spelling of 2110520106100 in words is "two trillion, one hundred ten billion, five hundred twenty million, one hundred six thousand, one hundred".