122110102001 has 2 divisors, whose sum is σ = 122110102002. Its totient is φ = 122110102000.

The previous prime is 122110101991. The next prime is 122110102021. The reversal of 122110102001 is 100201011221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120506179600 + 1603922401 = 347140^2 + 40049^2 .

It is an emirp because it is prime and its reverse (100201011221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122110102001 - 2¹⁰ = 122110100977 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (122110102021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61055051000 + 61055051001.

It is an arithmetic number, because the mean of its divisors is an integer number (61055051001).

Almost surely, 2^122110102001 is an apocalyptic number.

It is an amenable number.

122110102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122110102001 is an equidigital number, since it uses as much as digits as its factorization.

122110102001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 122110102001 its reverse (100201011221), we get a palindrome (222311113222).

The spelling of 122110102001 in words is "one hundred twenty-two billion, one hundred ten million, one hundred two thousand, one".