10221434420413 has 2 divisors, whose sum is σ = 10221434420414. Its totient is φ = 10221434420412.

The previous prime is 10221434420401. The next prime is 10221434420443. The reversal of 10221434420413 is 31402443412201.

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., 5252338072804 + 4969096347609 = 2291798^2 + 2229147^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10221434420413 is a prime.

It is a super-2 number, since 2×10221434420413² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221434420443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110717210206 + 5110717210207.

It is an arithmetic number, because the mean of its divisors is an integer number (5110717210207).

Almost surely, 2^{10221434420413} is an apocalyptic number.

It is an amenable number.

10221434420413 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221434420413 is an equidigital number, since it uses as much as digits as its factorization.

10221434420413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 10221434420413 its reverse (31402443412201), we get a palindrome (41623877832614).

The spelling of 10221434420413 in words is "ten trillion, two hundred twenty-one billion, four hundred thirty-four million, four hundred twenty thousand, four hundred thirteen".