10222322322201 has 32 divisors (see below), whose sum is σ = 15017744894976. Its totient is φ = 6133313880000.

The previous prime is 10222322322151. The next prime is 10222322322217.

10222322322201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10222322322201 - 2⁹ = 10222322321689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10222322327201) 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 in 31 ways as a sum of consecutive naturals, for example, 30131620 + ... + 30468986.

It is an arithmetic number, because the mean of its divisors is an integer number (469304527968).

Almost surely, 2^{10222322322201} is an apocalyptic number.

10222322322201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10222322322201 is a deficient number, since it is larger than the sum of its proper divisors (4795422572775).

10222322322201 is a wasteful number, since it uses less digits than its factorization.

10222322322201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346573.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 1022232 and 2322201, that added together give a palindrome (3344433).

The spelling of 10222322322201 in words is "ten trillion, two hundred twenty-two billion, three hundred twenty-two million, three hundred twenty-two thousand, two hundred one".