10122111120001 has 16 divisors (see below), whose sum is σ = 10422256195584. Its totient is φ = 9825748246224.

The previous prime is 10122111119993. The next prime is 10122111120053. The reversal of 10122111120001 is 10002111122101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10122111120001 - 2³ = 10122111119993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10122111150001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2374386 + ... + 5087428.

It is an arithmetic number, because the mean of its divisors is an integer number (651391012224).

Almost surely, 2^{10122111120001} is an apocalyptic number.

It is an amenable number.

10122111120001 is a deficient number, since it is larger than the sum of its proper divisors (300145075583).

10122111120001 is a wasteful number, since it uses less digits than its factorization.

10122111120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713740.

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

Adding to 10122111120001 its reverse (10002111122101), we get a palindrome (20124222242102).

The spelling of 10122111120001 in words is "ten trillion, one hundred twenty-two billion, one hundred eleven million, one hundred twenty thousand, one".