10221122111201 has 2 divisors, whose sum is σ = 10221122111202. Its totient is φ = 10221122111200.

The previous prime is 10221122111183. The next prime is 10221122111267. The reversal of 10221122111201 is 10211122112201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8774391865600 + 1446730245601 = 2962160^2 + 1202801^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221122111201 - 2²² = 10221117916897 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10221122111201.

It is not a weakly prime, because it can be changed into another prime (10221122111801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110561055600 + 5110561055601.

It is an arithmetic number, because the mean of its divisors is an integer number (5110561055601).

Almost surely, 2^{10221122111201} is an apocalyptic number.

It is an amenable number.

10221122111201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221122111201 is an equidigital number, since it uses as much as digits as its factorization.

10221122111201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10221122111201 its reverse (10211122112201), we get a palindrome (20432244223402).

It can be divided in two parts, 1022112 and 2111201, that added together give a palindrome (3133313).

The spelling of 10221122111201 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred eleven thousand, two hundred one".