122201111111001 has 64 divisors (see below), whose sum is σ = 183454916020992. Its totient is φ = 71861775777792.

The previous prime is 122201111110961. The next prime is 122201111111029. The reversal of 122201111111001 is 100111111102221.

It is not a de Polignac number, because 122201111111001 - 2⁹ = 122201111110489 is a prime.

It is a super-2 number, since 2×122201111111001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122201111111201) 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 in 63 ways as a sum of consecutive naturals, for example, 29427565 + ... + 33322421.

It is an arithmetic number, because the mean of its divisors is an integer number (2866483062828).

Almost surely, 2^{122201111111001} is an apocalyptic number.

It is an amenable number.

122201111111001 is a deficient number, since it is larger than the sum of its proper divisors (61253804909991).

122201111111001 is a wasteful number, since it uses less digits than its factorization.

122201111111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895322.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 122201111111001 its reverse (100111111102221), we get a palindrome (222312222213222).

The spelling of 122201111111001 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred eleven million, one hundred eleven thousand, one".