1021122211201 has 2 divisors, whose sum is σ = 1021122211202. Its totient is φ = 1021122211200.

The previous prime is 1021122211183. The next prime is 1021122211223.

1021122211201 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1020405042801 + 717168400 = 1010151^2 + 26780^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 1021122211201 - 2³⁵ = 986762472833 is a prime.

It is not a weakly prime, because it can be changed into another prime (1021122211601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510561105600 + 510561105601.

It is an arithmetic number, because the mean of its divisors is an integer number (510561105601).

Almost surely, 2^{1021122211201} is an apocalyptic number.

It is an amenable number.

1021122211201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021122211201 is an equidigital number, since it uses as much as digits as its factorization.

1021122211201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 16.

The spelling of 1021122211201 in words is "one trillion, twenty-one billion, one hundred twenty-two million, two hundred eleven thousand, two hundred one".