122212111202101 has 2 divisors, whose sum is σ = 122212111202102. Its totient is φ = 122212111202100.

The previous prime is 122212111202059. The next prime is 122212111202113. The reversal of 122212111202101 is 101202111212221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104142045410001 + 18070065792100 = 10205001^2 + 4250890^2 .

It is a cyclic number.

It is not a de Polignac number, because 122212111202101 - 2³⁷ = 122074672248629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122212111209101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61106055601050 + 61106055601051.

It is an arithmetic number, because the mean of its divisors is an integer number (61106055601051).

Almost surely, 2^{122212111202101} is an apocalyptic number.

It is an amenable number.

122212111202101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122212111202101 is an equidigital number, since it uses as much as digits as its factorization.

122212111202101 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 19.

Adding to 122212111202101 its reverse (101202111212221), we get a palindrome (223414222414322).

The spelling of 122212111202101 in words is "one hundred twenty-two trillion, two hundred twelve billion, one hundred eleven million, two hundred two thousand, one hundred one".