122111002021121 has 2 divisors, whose sum is σ = 122111002021122. Its totient is φ = 122111002021120.

The previous prime is 122111002021117. The next prime is 122111002021133. The reversal of 122111002021121 is 121120200111221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107548535454721 + 14562466566400 = 10370561^2 + 3816080^2 .

It is a cyclic number.

It is not a de Polignac number, because 122111002021121 - 2² = 122111002021117 is a prime.

It is a super-2 number, since 2×122111002021121² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122111002021121.

It is not a weakly prime, because it can be changed into another prime (122111002621121) 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, 61055501010560 + 61055501010561.

It is an arithmetic number, because the mean of its divisors is an integer number (61055501010561).

Almost surely, 2^{122111002021121} is an apocalyptic number.

It is an amenable number.

122111002021121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122111002021121 is an equidigital number, since it uses as much as digits as its factorization.

122111002021121 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 122111002021121 its reverse (121120200111221), we get a palindrome (243231202132342).

The spelling of 122111002021121 in words is "one hundred twenty-two trillion, one hundred eleven billion, two million, twenty-one thousand, one hundred twenty-one".