122110112101001 has 8 divisors (see below), whose sum is σ = 123333824065800. Its totient is φ = 120886688390400.

The previous prime is 122110112100989. The next prime is 122110112101051. The reversal of 122110112101001 is 100101211011221.

It can be written as a sum of positive squares in 4 ways, for example, as 104423873440000 + 17686238661001 = 10218800^2 + 4205501^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122110112101001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122110112101051) 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, 71212016 + ... + 72906593.

It is an arithmetic number, because the mean of its divisors is an integer number (15416728008225).

Almost surely, 2^{122110112101001} is an apocalyptic number.

It is an amenable number.

122110112101001 is a deficient number, since it is larger than the sum of its proper divisors (1223711964799).

122110112101001 is a wasteful number, since it uses less digits than its factorization.

122110112101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144127099.

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

Adding to 122110112101001 its reverse (100101211011221), we get a palindrome (222211323112222).

The spelling of 122110112101001 in words is "one hundred twenty-two trillion, one hundred ten billion, one hundred twelve million, one hundred one thousand, one".