201121012400401 has 2 divisors, whose sum is σ = 201121012400402. Its totient is φ = 201121012400400.

The previous prime is 201121012400393. The next prime is 201121012400447. The reversal of 201121012400401 is 104004210121102.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 177308798590225 + 23812213810176 = 13315735^2 + 4879776^2 .

It is a cyclic number.

It is not a de Polignac number, because 201121012400401 - 2³ = 201121012400393 is a prime.

It is not a weakly prime, because it can be changed into another prime (201121012400101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100560506200200 + 100560506200201.

It is an arithmetic number, because the mean of its divisors is an integer number (100560506200201).

Almost surely, 2^{201121012400401} is an apocalyptic number.

It is an amenable number.

201121012400401 is a deficient number, since it is larger than the sum of its proper divisors (1).

201121012400401 is an equidigital number, since it uses as much as digits as its factorization.

201121012400401 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 19.

Adding to 201121012400401 its reverse (104004210121102), we get a palindrome (305125222521503).

The spelling of 201121012400401 in words is "two hundred one trillion, one hundred twenty-one billion, twelve million, four hundred thousand, four hundred one".