122211121230001 has 2 divisors, whose sum is σ = 122211121230002. Its totient is φ = 122211121230000.

The previous prime is 122211121229993. The next prime is 122211121230017. The reversal of 122211121230001 is 100032121112221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84979341043776 + 37231780186225 = 9218424^2 + 6101785^2 .

It is a cyclic number.

It is not a de Polignac number, because 122211121230001 - 2³ = 122211121229993 is a prime.

It is a super-2 number, since 2×122211121230001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122211121240001) 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, 61105560615000 + 61105560615001.

It is an arithmetic number, because the mean of its divisors is an integer number (61105560615001).

Almost surely, 2^{122211121230001} is an apocalyptic number.

It is an amenable number.

122211121230001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122211121230001 is an equidigital number, since it uses as much as digits as its factorization.

122211121230001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 122211121230001 its reverse (100032121112221), we get a palindrome (222243242342222).

The spelling of 122211121230001 in words is "one hundred twenty-two trillion, two hundred eleven billion, one hundred twenty-one million, two hundred thirty thousand, one".