122211210001121 has 2 divisors, whose sum is σ = 122211210001122. Its totient is φ = 122211210001120.

The previous prime is 122211210001103. The next prime is 122211210001183. The reversal of 122211210001121 is 121100012112221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82578657798400 + 39632552202721 = 9087280^2 + 6295439^2 .

It is a cyclic number.

It is not a de Polignac number, because 122211210001121 - 2¹⁴ = 122211209984737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122211210001121.

It is not a weakly prime, because it can be changed into another prime (122211210006121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61105605000560 + 61105605000561.

It is an arithmetic number, because the mean of its divisors is an integer number (61105605000561).

Almost surely, 2^{122211210001121} is an apocalyptic number.

It is an amenable number.

122211210001121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122211210001121 is an equidigital number, since it uses as much as digits as its factorization.

122211210001121 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 17.

Adding to 122211210001121 its reverse (121100012112221), we get a palindrome (243311222113342).

The spelling of 122211210001121 in words is "one hundred twenty-two trillion, two hundred eleven billion, two hundred ten million, one thousand, one hundred twenty-one".