122010022201121 has 2 divisors, whose sum is σ = 122010022201122. Its totient is φ = 122010022201120.

The previous prime is 122010022200967. The next prime is 122010022201159. The reversal of 122010022201121 is 121102220010221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98122991547025 + 23887030654096 = 9905705^2 + 4887436^2 .

It is a cyclic number.

It is not a de Polignac number, because 122010022201121 - 2¹⁴ = 122010022184737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122010022201121.

It is not a weakly prime, because it can be changed into another prime (122010022201181) 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, 61005011100560 + 61005011100561.

It is an arithmetic number, because the mean of its divisors is an integer number (61005011100561).

Almost surely, 2^{122010022201121} is an apocalyptic number.

It is an amenable number.

122010022201121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122010022201121 is an equidigital number, since it uses as much as digits as its factorization.

122010022201121 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 122010022201121 its reverse (121102220010221), we get a palindrome (243112242211342).

The spelling of 122010022201121 in words is "one hundred twenty-two trillion, ten billion, twenty-two million, two hundred one thousand, one hundred twenty-one".