122111000001 has 12 divisors (see below), whose sum is σ = 180135376512. Its totient is φ = 79675262136.

The previous prime is 122110999981. The next prime is 122111000009. The reversal of 122111000001 is 100000111221.

It is a happy number.

It is not a de Polignac number, because 122111000001 - 2²⁵ = 122077445569 is a prime.

It is a super-2 number, since 2×122111000001² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122111000009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144338821 + ... + 144339666.

It is an arithmetic number, because the mean of its divisors is an integer number (15011281376).

Almost surely, 2^122111000001 is an apocalyptic number.

It is an amenable number.

122111000001 is a deficient number, since it is larger than the sum of its proper divisors (58024376511).

122111000001 is a wasteful number, since it uses less digits than its factorization.

122111000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288678540 (or 288678537 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 122111000001 its reverse (100000111221), we get a palindrome (222111111222).

The spelling of 122111000001 in words is "one hundred twenty-two billion, one hundred eleven million, one", and thus it is an aban number.