122200111110001 has 8 divisors (see below), whose sum is σ = 123321500735400. Its totient is φ = 121078726715520.

The previous prime is 122200111109987. The next prime is 122200111110043. The reversal of 122200111110001 is 100011111002221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7612163770225 + 114587947339776 = 2759015^2 + 10704576^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122200111110001 - 2⁷ = 122200111109873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122200111110071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57851781 + ... + 59926861.

It is an arithmetic number, because the mean of its divisors is an integer number (15415187591925).

Almost surely, 2^{122200111110001} is an apocalyptic number.

It is an amenable number.

122200111110001 is a deficient number, since it is larger than the sum of its proper divisors (1121389625399).

122200111110001 is a wasteful number, since it uses less digits than its factorization.

122200111110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615459.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 122200111110001 its reverse (100011111002221), we get a palindrome (222211222112222).

The spelling of 122200111110001 in words is "one hundred twenty-two trillion, two hundred billion, one hundred eleven million, one hundred ten thousand, one".