2102112110010 has 128 divisors (see below), whose sum is σ = 5832666123264. Its totient is φ = 479197762560.

The previous prime is 2102112109997. The next prime is 2102112110053. The reversal of 2102112110010 is 100112112012.

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, 6133197 + ... + 6466863.

It is an arithmetic number, because the mean of its divisors is an integer number (45567704088).

Almost surely, 2^{2102112110010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102112110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916333061632).

2102112110010 is an abundant number, since it is smaller than the sum of its proper divisors (3730554013254).

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

2102112110010 is a wasteful number, since it uses less digits than its factorization.

2102112110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334828.

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

Adding to 2102112110010 its reverse (100112112012), we get a palindrome (2202224222022).

It can be divided in two parts, 2102112 and 110010, that added together give a palindrome (2212122).

The spelling of 2102112110010 in words is "two trillion, one hundred two billion, one hundred twelve million, one hundred ten thousand, ten".