1022112010112 has 256 divisors, whose sum is σ = 2200258728000. Its totient is φ = 472103976960.

The previous prime is 1022112010111. The next prime is 1022112010163. The reversal of 1022112010112 is 2110102112201.

It is a super-3 number, since 3×1022112010112³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022112010111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1350213638 + ... + 1350214394.

Almost surely, 2^{1022112010112} 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 1022112010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100129364000).

1022112010112 is an abundant number, since it is smaller than the sum of its proper divisors (1178146717888).

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

1022112010112 is an equidigital number, since it uses as much as digits as its factorization.

1022112010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1022112010112 its reverse (2110102112201), we get a palindrome (3132214122313).

The spelling of 1022112010112 in words is "one trillion, twenty-two billion, one hundred twelve million, ten thousand, one hundred twelve".