10422211222401 has 16 divisors (see below), whose sum is σ = 15208324604928. Its totient is φ = 6296181381200.

The previous prime is 10422211222391. The next prime is 10422211222411.

10422211222401 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (10422211222391) and next prime (10422211222411).

It is a cyclic number.

It is not a de Polignac number, because 10422211222401 - 2⁶ = 10422211222337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10422211222411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507746301 + ... + 507766826.

It is an arithmetic number, because the mean of its divisors is an integer number (950520287808).

Almost surely, 2^{10422211222401} is an apocalyptic number.

10422211222401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10422211222401 is a deficient number, since it is larger than the sum of its proper divisors (4786113382527).

10422211222401 is a wasteful number, since it uses less digits than its factorization.

10422211222401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015513452.

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 1042221 and 1222401, that added together give a palindrome (2264622).

The spelling of 10422211222401 in words is "ten trillion, four hundred twenty-two billion, two hundred eleven million, two hundred twenty-two thousand, four hundred one".