1012221121122 has 48 divisors (see below), whose sum is σ = 2194884783000. Its totient is φ = 337139638272.

The previous prime is 1012221121117. The next prime is 1012221121127. The reversal of 1012221121122 is 2211211222101.

It is an interprime number because it is at equal distance from previous prime (1012221121117) and next prime (1012221121127).

It can be written as a sum of positive squares in 4 ways, for example, as 878754381561 + 133466739561 = 937419^2 + 365331^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1012221121095 and 1012221121104.

It is not an unprimeable number, because it can be changed into a prime (1012221121127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229578454 + ... + 229582862.

Almost surely, 2^{1012221121122} is an apocalyptic number.

1012221121122 is an abundant number, since it is smaller than the sum of its proper divisors (1182663661878).

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

1012221121122 is a wasteful number, since it uses less digits than its factorization.

1012221121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11635 (or 11632 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1012221121122 its reverse (2211211222101), we get a palindrome (3223432343223).

The spelling of 1012221121122 in words is "one trillion, twelve billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty-two".