1022121100112 has 60 divisors (see below), whose sum is σ = 2303829548820. Its totient is φ = 438024158208.

The previous prime is 1022121100111. The next prime is 1022121100129. The reversal of 1022121100112 is 2110011212201.

It can be written as a sum of positive squares in 2 ways, for example, as 434512998976 + 587608101136 = 659176^2 + 766556^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022121100111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16644248 + ... + 16705544.

It is an arithmetic number, because the mean of its divisors is an integer number (38397159147).

Almost surely, 2^{1022121100112} is an apocalyptic number.

It is an amenable number.

1022121100112 is an abundant number, since it is smaller than the sum of its proper divisors (1281708448708).

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

1022121100112 is a wasteful number, since it uses less digits than its factorization.

1022121100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82588 (or 82575 counting only the distinct ones).

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

Adding to 1022121100112 its reverse (2110011212201), we get a palindrome (3132132312313).

The spelling of 1022121100112 in words is "one trillion, twenty-two billion, one hundred twenty-one million, one hundred thousand, one hundred twelve".