2231010004001 has 2 divisors, whose sum is σ = 2231010004002. Its totient is φ = 2231010004000.

The previous prime is 2231010003973. The next prime is 2231010004007. The reversal of 2231010004001 is 1004000101322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2179048345600 + 51961658401 = 1476160^2 + 227951^2 .

It is a cyclic number.

It is not a de Polignac number, because 2231010004001 - 2¹⁴ = 2231009987617 is a prime.

It is a super-3 number, since 3×2231010004001³ (a number of 38 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2231010004007) 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, 1115505002000 + 1115505002001.

It is an arithmetic number, because the mean of its divisors is an integer number (1115505002001).

Almost surely, 2^{2231010004001} is an apocalyptic number.

It is an amenable number.

2231010004001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2231010004001 is an equidigital number, since it uses as much as digits as its factorization.

2231010004001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2231010004001 its reverse (1004000101322), we get a palindrome (3235010105323).

The spelling of 2231010004001 in words is "two trillion, two hundred thirty-one billion, ten million, four thousand, one".