201122000202401 has 2 divisors, whose sum is σ = 201122000202402. Its totient is φ = 201122000202400.

The previous prime is 201122000202373. The next prime is 201122000202457. The reversal of 201122000202401 is 104202000221102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 193317017014801 + 7804983187600 = 13903849^2 + 2793740^2 .

It is a cyclic number.

It is not a de Polignac number, because 201122000202401 - 2²⁶ = 201121933093537 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 201122000202401.

It is not a weakly prime, because it can be changed into another prime (201122000232401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100561000101200 + 100561000101201.

It is an arithmetic number, because the mean of its divisors is an integer number (100561000101201).

Almost surely, 2^{201122000202401} is an apocalyptic number.

It is an amenable number.

201122000202401 is a deficient number, since it is larger than the sum of its proper divisors (1).

201122000202401 is an equidigital number, since it uses as much as digits as its factorization.

201122000202401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 201122000202401 its reverse (104202000221102), we get a palindrome (305324000423503).

The spelling of 201122000202401 in words is "two hundred one trillion, one hundred twenty-two billion, two hundred two thousand, four hundred one".