10004402412421 has 2 divisors, whose sum is σ = 10004402412422. Its totient is φ = 10004402412420.

The previous prime is 10004402412419. The next prime is 10004402412493. The reversal of 10004402412421 is 12421420440001.

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., 8516212245025 + 1488190167396 = 2918255^2 + 1219914^2 .

It is a cyclic number.

It is not a de Polignac number, because 10004402412421 - 2¹ = 10004402412419 is a prime.

Together with 10004402412419, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10004402412721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002201206210 + 5002201206211.

It is an arithmetic number, because the mean of its divisors is an integer number (5002201206211).

Almost surely, 2^{10004402412421} is an apocalyptic number.

It is an amenable number.

10004402412421 is a deficient number, since it is larger than the sum of its proper divisors (1).

10004402412421 is an equidigital number, since it uses as much as digits as its factorization.

10004402412421 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 10004402412421 its reverse (12421420440001), we get a palindrome (22425822852422).

The spelling of 10004402412421 in words is "ten trillion, four billion, four hundred two million, four hundred twelve thousand, four hundred twenty-one".