2102100121110 has 128 divisors (see below), whose sum is σ = 5621669982720. Its totient is φ = 498781670400.

The previous prime is 2102100121031. The next prime is 2102100121127. The reversal of 2102100121110 is 111210012012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2822736 + ... + 3488844.

It is an arithmetic number, because the mean of its divisors is an integer number (43919296740).

Almost surely, 2^{2102100121110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102100121110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810834991360).

2102100121110 is an abundant number, since it is smaller than the sum of its proper divisors (3519569861610).

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

2102100121110 is a wasteful number, since it uses less digits than its factorization.

2102100121110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666334.

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

Adding to 2102100121110 its reverse (111210012012), we get a palindrome (2213310133122).

The spelling of 2102100121110 in words is "two trillion, one hundred two billion, one hundred million, one hundred twenty-one thousand, one hundred ten".