122111112001001 has 4 divisors (see below), whose sum is σ = 123320132912004. Its totient is φ = 120902091090000.

The previous prime is 122111112000949. The next prime is 122111112001009. The reversal of 122111112001001 is 100100211111221.

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 73092924313600 + 49018187687401 = 8549440^2 + 7001299^2 .

It is a cyclic number.

It is not a de Polignac number, because 122111112001001 - 2³⁰ = 122110038259177 is a prime.

It is a super-2 number, since 2×122111112001001² (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 (122111112001009) 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, 604510455350 + ... + 604510455551.

It is an arithmetic number, because the mean of its divisors is an integer number (30830033228001).

Almost surely, 2^{122111112001001} is an apocalyptic number.

It is an amenable number.

122111112001001 is a deficient number, since it is larger than the sum of its proper divisors (1209020911003).

122111112001001 is a wasteful number, since it uses less digits than its factorization.

122111112001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209020911002.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 122111112001001 its reverse (100100211111221), we get a palindrome (222211323112222).

The spelling of 122111112001001 in words is "one hundred twenty-two trillion, one hundred eleven billion, one hundred twelve million, one thousand, one".