2220102110112 has 96 divisors (see below), whose sum is σ = 5876263895040. Its totient is φ = 733883554560.

The previous prime is 2220102110071. The next prime is 2220102110119. The reversal of 2220102110112 is 2110112010222.

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 = 2220102110091 and 2220102110100.

It is not an unprimeable number, because it can be changed into a prime (2220102110119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18590689 + ... + 18709727.

It is an arithmetic number, because the mean of its divisors is an integer number (61211082240).

Almost surely, 2^{2220102110112} 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 2220102110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938131947520).

2220102110112 is an abundant number, since it is smaller than the sum of its proper divisors (3656161784928).

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

2220102110112 is a wasteful number, since it uses less digits than its factorization.

2220102110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120666 (or 120658 counting only the distinct ones).

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

Adding to 2220102110112 its reverse (2110112010222), we get a palindrome (4330214120334).

The spelling of 2220102110112 in words is "two trillion, two hundred twenty billion, one hundred two million, one hundred ten thousand, one hundred twelve".