2102110022112 has 96 divisors (see below), whose sum is σ = 5650943582592. Its totient is φ = 683852972544.

The previous prime is 2102110022101. The next prime is 2102110022113. The reversal of 2102110022112 is 2112200112012.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2102110022091 and 2102110022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102110022113) 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, 4900503 + ... + 5312169.

It is an arithmetic number, because the mean of its divisors is an integer number (58863995652).

Almost surely, 2^{2102110022112} 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 2102110022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825471791296).

2102110022112 is an abundant number, since it is smaller than the sum of its proper divisors (3548833560480).

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

2102110022112 is a wasteful number, since it uses less digits than its factorization.

2102110022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412960 (or 412952 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2102110022112 its reverse (2112200112012), we get a palindrome (4214310134124).

The spelling of 2102110022112 in words is "two trillion, one hundred two billion, one hundred ten million, twenty-two thousand, one hundred twelve".