201122000000001 has 40 divisors (see below), whose sum is σ = 321688856772360. Its totient is φ = 124776283686912.

The previous prime is 201121999999981. The next prime is 201122000000059. The reversal of 201122000000001 is 100000000221102.

It can be written as a sum of positive squares in 4 ways, for example, as 823648817601 + 200298351182400 = 907551^2 + 14152680^2 .

It is not a de Polignac number, because 201122000000001 - 2⁹ = 201121999999489 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 201122000000001.

It is not an unprimeable number, because it can be changed into a prime (201122000000401) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 820428556 + ... + 820673661.

It is an arithmetic number, because the mean of its divisors is an integer number (8042221419309).

Almost surely, 2^{201122000000001} is an apocalyptic number.

It is an amenable number.

201122000000001 is a deficient number, since it is larger than the sum of its proper divisors (120566856772359).

201122000000001 is a wasteful number, since it uses less digits than its factorization.

201122000000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641102335 (or 1641102326 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201122000000001 its reverse (100000000221102), we get a palindrome (301122000221103).

The spelling of 201122000000001 in words is "two hundred one trillion, one hundred twenty-two billion, one", and thus it is an aban number.