122121201001 has 2 divisors, whose sum is σ = 122121201002. Its totient is φ = 122121201000.

The previous prime is 122121200977. The next prime is 122121201053. The reversal of 122121201001 is 100102121221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70841145600 + 51280055401 = 266160^2 + 226451^2 .

It is an emirp because it is prime and its reverse (100102121221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122121201001 - 2²⁷ = 121986983273 is a prime.

It is not a weakly prime, because it can be changed into another prime (122121201091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060600500 + 61060600501.

It is an arithmetic number, because the mean of its divisors is an integer number (61060600501).

Almost surely, 2^122121201001 is an apocalyptic number.

It is an amenable number.

122121201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122121201001 is an equidigital number, since it uses as much as digits as its factorization.

122121201001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122121201001 its reverse (100102121221), we get a palindrome (222223322222).

The spelling of 122121201001 in words is "one hundred twenty-two billion, one hundred twenty-one million, two hundred one thousand, one".