1021122211013 has 2 divisors, whose sum is σ = 1021122211014. Its totient is φ = 1021122211012.

The previous prime is 1021122210973. The next prime is 1021122211061. The reversal of 1021122211013 is 3101122211201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1014447811204 + 6674399809 = 1007198^2 + 81697^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021122211013 - 2²⁴ = 1021105433797 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1021122210982 and 1021122211000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1021122211093) by changing a digit.

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 as a sum of consecutive naturals, namely, 510561105506 + 510561105507.

It is an arithmetic number, because the mean of its divisors is an integer number (510561105507).

Almost surely, 2^{1021122211013} is an apocalyptic number.

It is an amenable number.

1021122211013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021122211013 is an equidigital number, since it uses as much as digits as its factorization.

1021122211013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1021122211013 its reverse (3101122211201), we get a palindrome (4122244422214).

The spelling of 1021122211013 in words is "one trillion, twenty-one billion, one hundred twenty-two million, two hundred eleven thousand, thirteen".