2110100010112 has 128 divisors (see below), whose sum is σ = 4322079129600. Its totient is φ = 1025662632960.

The previous prime is 2110100010107. The next prime is 2110100010113.

2110100010112 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2110100010113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1336351339 + ... + 1336352917.

It is an arithmetic number, because the mean of its divisors is an integer number (33766243200).

Almost surely, 2^{2110100010112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110100010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161039564800).

2110100010112 is an abundant number, since it is smaller than the sum of its proper divisors (2211979119488).

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

2110100010112 is a wasteful number, since it uses less digits than its factorization.

2110100010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 21101000 and 10112, that added together give a palindrome (21111112).

The spelling of 2110100010112 in words is "two trillion, one hundred ten billion, one hundred million, ten thousand, one hundred twelve".