1022111111112 has 256 divisors, whose sum is σ = 3314799936000. Its totient is φ = 255360688128.

The previous prime is 1022111111101. The next prime is 1022111111117. The reversal of 1022111111112 is 2111111112201.

It is a super-2 number, since 2×1022111111112² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1022111111091 and 1022111111100.

It is not an unprimeable number, because it can be changed into a prime (1022111111117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3204564 + ... + 3509052.

It is an arithmetic number, because the mean of its divisors is an integer number (12948437250).

Almost surely, 2^{1022111111112} is an apocalyptic number.

1022111111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022111111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657399968000).

1022111111112 is an abundant number, since it is smaller than the sum of its proper divisors (2292688824888).

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

1022111111112 is a wasteful number, since it uses less digits than its factorization.

1022111111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304600 (or 304596 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 1022111111112 its reverse (2111111112201), we get a palindrome (3133222223313).

It can be divided in two parts, 10 and 22111111112, that added together give a palindrome (22111111122).

The spelling of 1022111111112 in words is "one trillion, twenty-two billion, one hundred eleven million, one hundred eleven thousand, one hundred twelve".