122122211001001 has 4 divisors (see below), whose sum is σ = 122597394701652. Its totient is φ = 121647027300352.

The previous prime is 122122211000983. The next prime is 122122211001031. The reversal of 122122211001001 is 100100112221221.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 120852622903401 + 1269588097600 = 10993299^2 + 1126760^2 .

It is a cyclic number.

It is not a de Polignac number, because 122122211001001 - 2⁵ = 122122211000969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122122211001031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 237591849940 + ... + 237591850453.

It is an arithmetic number, because the mean of its divisors is an integer number (30649348675413).

Almost surely, 2^{122122211001001} is an apocalyptic number.

It is an amenable number.

122122211001001 is a deficient number, since it is larger than the sum of its proper divisors (475183700651).

122122211001001 is an equidigital number, since it uses as much as digits as its factorization.

122122211001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475183700650.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122122211001001 its reverse (100100112221221), we get a palindrome (222222323222222).

The spelling of 122122211001001 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, two hundred eleven million, one thousand, one".