122210111122001 has 6 divisors (see below), whose sum is σ = 142162782325650. Its totient is φ = 104751523818816.

The previous prime is 122210111121929. The next prime is 122210111122009. The reversal of 122210111122001 is 100221111012221.

It can be written as a sum of positive squares in only one way, i.e., 110927236840000 + 11282874282001 = 10532200^2 + 3358999^2 .

It is not a de Polignac number, because 122210111122001 - 2²⁶ = 122210044013137 is a prime.

It is a super-2 number, since 2×122210111122001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122210111122009) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1247041950176 + ... + 1247041950273.

It is an arithmetic number, because the mean of its divisors is an integer number (23693797054275).

Almost surely, 2^{122210111122001} is an apocalyptic number.

It is an amenable number.

122210111122001 is a deficient number, since it is larger than the sum of its proper divisors (19952671203649).

122210111122001 is an equidigital number, since it uses as much as digits as its factorization.

122210111122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494083900463 (or 2494083900456 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 122210111122001 its reverse (100221111012221), we get a palindrome (222431222134222).

The spelling of 122210111122001 in words is "one hundred twenty-two trillion, two hundred ten billion, one hundred eleven million, one hundred twenty-two thousand, one".