122100121001 has 2 divisors, whose sum is σ = 122100121002. Its totient is φ = 122100121000.

The previous prime is 122100120997. The next prime is 122100121007. The reversal of 122100121001 is 100121001221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118625136400 + 3474984601 = 344420^2 + 58949^2 .

It is a cyclic number.

It is not a de Polignac number, because 122100121001 - 2² = 122100120997 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 (122100121007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050060500 + 61050060501.

It is an arithmetic number, because the mean of its divisors is an integer number (61050060501).

Almost surely, 2^122100121001 is an apocalyptic number.

It is an amenable number.

122100121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100121001 is an equidigital number, since it uses as much as digits as its factorization.

122100121001 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 122100121001 its reverse (100121001221), we get a palindrome (222221122222).

The spelling of 122100121001 in words is "one hundred twenty-two billion, one hundred million, one hundred twenty-one thousand, one".