2221120010112 has 128 divisors (see below), whose sum is σ = 5978436076800. Its totient is φ = 730545868800.

The previous prime is 2221120010099. The next prime is 2221120010143. The reversal of 2221120010112 is 2110100211222.

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

It is a junction number, because it is equal to n+sod(n) for n = 2221120010091 and 2221120010100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16576987 + ... + 16710437.

It is an arithmetic number, because the mean of its divisors is an integer number (46706531850).

Almost surely, 2^{2221120010112} 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 2221120010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989218038400).

2221120010112 is an abundant number, since it is smaller than the sum of its proper divisors (3757316066688).

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

2221120010112 is a wasteful number, since it uses less digits than its factorization.

2221120010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134044 (or 134032 counting only the distinct ones).

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

Adding to 2221120010112 its reverse (2110100211222), we get a palindrome (4331220221334).

The spelling of 2221120010112 in words is "two trillion, two hundred twenty-one billion, one hundred twenty million, ten thousand, one hundred twelve".