1011222122201 has 2 divisors, whose sum is σ = 1011222122202. Its totient is φ = 1011222122200.

The previous prime is 1011222122153. The next prime is 1011222122227. The reversal of 1011222122201 is 1022212221101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 867068257225 + 144153864976 = 931165^2 + 379676^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011222122201 - 2⁶ = 1011222122137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1011222122201.

It is not a weakly prime, because it can be changed into another prime (1011222122231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505611061100 + 505611061101.

It is an arithmetic number, because the mean of its divisors is an integer number (505611061101).

Almost surely, 2^{1011222122201} is an apocalyptic number.

It is an amenable number.

1011222122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011222122201 is an equidigital number, since it uses as much as digits as its factorization.

1011222122201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1011222122201 its reverse (1022212221101), we get a palindrome (2033434343302).

It can be divided in two parts, 10 and 11222122201, that added together give a palindrome (11222122211).

The spelling of 1011222122201 in words is "one trillion, eleven billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred one".