10240222204201 has 32 divisors (see below), whose sum is σ = 11789332300800. Its totient is φ = 8796669336000.

The previous prime is 10240222204171. The next prime is 10240222204217.

10240222204201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10240222204201 - 2¹¹ = 10240222202153 is a prime.

It is a super-2 number, since 2×10240222204201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10240222204501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 693257946 + ... + 693272716.

It is an arithmetic number, because the mean of its divisors is an integer number (368416634400).

Almost surely, 2^{10240222204201} is an apocalyptic number.

10240222204201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10240222204201 is a deficient number, since it is larger than the sum of its proper divisors (1549110096599).

10240222204201 is a wasteful number, since it uses less digits than its factorization.

10240222204201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23101.

The product of its (nonzero) digits is 1024, while the sum is 22.

It can be divided in two parts, 1024022 and 2204201, that added together give a palindrome (3228223).

The spelling of 10240222204201 in words is "ten trillion, two hundred forty billion, two hundred twenty-two million, two hundred four thousand, two hundred one".