122010110012081 has 2 divisors, whose sum is σ = 122010110012082. Its totient is φ = 122010110012080.

The previous prime is 122010110012071. The next prime is 122010110012107. The reversal of 122010110012081 is 180210011010221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119425118112400 + 2584991899681 = 10928180^2 + 1607791^2 .

It is a cyclic number.

It is not a de Polignac number, because 122010110012081 - 2⁶ = 122010110012017 is a prime.

It is a super-2 number, since 2×122010110012081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122010110012071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61005055006040 + 61005055006041.

It is an arithmetic number, because the mean of its divisors is an integer number (61005055006041).

Almost surely, 2^{122010110012081} is an apocalyptic number.

It is an amenable number.

122010110012081 is a deficient number, since it is larger than the sum of its proper divisors (1).

122010110012081 is an equidigital number, since it uses as much as digits as its factorization.

122010110012081 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 20.

The spelling of 122010110012081 in words is "one hundred twenty-two trillion, ten billion, one hundred ten million, twelve thousand, eighty-one".