122112010122001 has 2 divisors, whose sum is σ = 122112010122002. Its totient is φ = 122112010122000.

The previous prime is 122112010121971. The next prime is 122112010122017. The reversal of 122112010122001 is 100221010211221.

It is an a-pointer prime, because the next prime (122112010122017) can be obtained adding 122112010122001 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72983686216401 + 49128323905600 = 8543049^2 + 7009160^2 .

It is a cyclic number.

It is not a de Polignac number, because 122112010122001 - 2⁷ = 122112010121873 is a prime.

It is a super-2 number, since 2×122112010122001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122112010122601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61056005061000 + 61056005061001.

It is an arithmetic number, because the mean of its divisors is an integer number (61056005061001).

Almost surely, 2^{122112010122001} is an apocalyptic number.

It is an amenable number.

122112010122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122112010122001 is an equidigital number, since it uses as much as digits as its factorization.

122112010122001 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 16.

Adding to 122112010122001 its reverse (100221010211221), we get a palindrome (222333020333222).

The spelling of 122112010122001 in words is "one hundred twenty-two trillion, one hundred twelve billion, ten million, one hundred twenty-two thousand, one".