1021122311312 has 80 divisors (see below), whose sum is σ = 2023393463280. Its totient is φ = 499032907776.

The previous prime is 1021122311273. The next prime is 1021122311327. The reversal of 1021122311312 is 2131132211201.

It can be written as a sum of positive squares in 8 ways, for example, as 453866300416 + 567256010896 = 673696^2 + 753164^2 .

It is a super-2 number, since 2×1021122311312² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345790028 + ... + 345792980.

It is an arithmetic number, because the mean of its divisors is an integer number (25292418291).

Almost surely, 2^{1021122311312} is an apocalyptic number.

It is an amenable number.

1021122311312 is a deficient number, since it is larger than the sum of its proper divisors (1002271151968).

1021122311312 is a wasteful number, since it uses less digits than its factorization.

1021122311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4420 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1021122311312 its reverse (2131132211201), we get a palindrome (3152254522513).

The spelling of 1021122311312 in words is "one trillion, twenty-one billion, one hundred twenty-two million, three hundred eleven thousand, three hundred twelve".