400121164301 has 2 divisors, whose sum is σ = 400121164302. Its totient is φ = 400121164300.

The previous prime is 400121164297. The next prime is 400121164321. The reversal of 400121164301 is 103461121004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212221455625 + 187899708676 = 460675^2 + 433474^2 .

It is a cyclic number.

It is not a de Polignac number, because 400121164301 - 2² = 400121164297 is a prime.

It is a super-2 number, since 2×400121164301² (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400121164321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200060582150 + 200060582151.

It is an arithmetic number, because the mean of its divisors is an integer number (200060582151).

Almost surely, 2^400121164301 is an apocalyptic number.

It is an amenable number.

400121164301 is a deficient number, since it is larger than the sum of its proper divisors (1).

400121164301 is an equidigital number, since it uses as much as digits as its factorization.

400121164301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 400121164301 its reverse (103461121004), we get a palindrome (503582285305).

The spelling of 400121164301 in words is "four hundred billion, one hundred twenty-one million, one hundred sixty-four thousand, three hundred one".