400201112201201 has 2 divisors, whose sum is σ = 400201112201202. Its totient is φ = 400201112201200.

The previous prime is 400201112201173. The next prime is 400201112201239. The reversal of 400201112201201 is 102102211102004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 391348255810576 + 8852856390625 = 19782524^2 + 2975375^2 .

It is a cyclic number.

It is not a de Polignac number, because 400201112201201 - 2¹⁰ = 400201112200177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 400201112201201.

It is not a weakly prime, because it can be changed into another prime (400201112201101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200100556100600 + 200100556100601.

It is an arithmetic number, because the mean of its divisors is an integer number (200100556100601).

Almost surely, 2^{400201112201201} is an apocalyptic number.

It is an amenable number.

400201112201201 is a deficient number, since it is larger than the sum of its proper divisors (1).

400201112201201 is an equidigital number, since it uses as much as digits as its factorization.

400201112201201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 400201112201201 its reverse (102102211102004), we get a palindrome (502303323303205).

The spelling of 400201112201201 in words is "four hundred trillion, two hundred one billion, one hundred twelve million, two hundred one thousand, two hundred one".