122110002012001 has 8 divisors (see below), whose sum is σ = 122183699005224. Its totient is φ = 122036308753920.

The previous prime is 122110002011981. The next prime is 122110002012017. The reversal of 122110002012001 is 100210200011221.

It can be written as a sum of positive squares in 4 ways, for example, as 13236324606976 + 108873677405025 = 3638176^2 + 10434255^2 .

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 122110002012001 - 2¹⁵ = 122110001979233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122110002010001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65912575 + ... + 67739851.

It is an arithmetic number, because the mean of its divisors is an integer number (15272962375653).

Almost surely, 2^{122110002012001} is an apocalyptic number.

It is an amenable number.

122110002012001 is a deficient number, since it is larger than the sum of its proper divisors (73696993223).

122110002012001 is a wasteful number, since it uses less digits than its factorization.

122110002012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867571.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122110002012001 its reverse (100210200011221), we get a palindrome (222320202023222).

The spelling of 122110002012001 in words is "one hundred twenty-two trillion, one hundred ten billion, two million, twelve thousand, one".