122022001110101 has 2 divisors, whose sum is σ = 122022001110102. Its totient is φ = 122022001110100.

The previous prime is 122022001110091. The next prime is 122022001110103. The reversal of 122022001110101 is 101011100220221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102491346687601 + 19530654422500 = 10123801^2 + 4419350^2 .

It is a cyclic number.

It is not a de Polignac number, because 122022001110101 - 2³⁸ = 121747123203157 is a prime.

It is a Sophie Germain prime.

Together with 122022001110103, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122022001110103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61011000555050 + 61011000555051.

It is an arithmetic number, because the mean of its divisors is an integer number (61011000555051).

Almost surely, 2^{122022001110101} is an apocalyptic number.

It is an amenable number.

122022001110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122022001110101 is an equidigital number, since it uses as much as digits as its factorization.

122022001110101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122022001110101 its reverse (101011100220221), we get a palindrome (223033101330322).

The spelling of 122022001110101 in words is "one hundred twenty-two trillion, twenty-two billion, one million, one hundred ten thousand, one hundred one".