122210121200081 has 2 divisors, whose sum is σ = 122210121200082. Its totient is φ = 122210121200080.

The previous prime is 122210121200039. The next prime is 122210121200129. The reversal of 122210121200081 is 180002121012221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116056645615681 + 6153475584400 = 10772959^2 + 2480620^2 .

It is a cyclic number.

It is not a de Polignac number, because 122210121200081 - 2¹⁰ = 122210121199057 is a prime.

It is a super-2 number, since 2×122210121200081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122210121200021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61105060600040 + 61105060600041.

It is an arithmetic number, because the mean of its divisors is an integer number (61105060600041).

Almost surely, 2^{122210121200081} is an apocalyptic number.

It is an amenable number.

122210121200081 is a deficient number, since it is larger than the sum of its proper divisors (1).

122210121200081 is an equidigital number, since it uses as much as digits as its factorization.

122210121200081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 23.

The spelling of 122210121200081 in words is "one hundred twenty-two trillion, two hundred ten billion, one hundred twenty-one million, two hundred thousand, eighty-one".