10224200242201 has 16 divisors (see below), whose sum is σ = 11178352486080. Its totient is φ = 9274164090880.

The previous prime is 10224200242177. The next prime is 10224200242213.

10224200242201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10224200242201 is a prime.

It is a super-2 number, since 2×10224200242201² (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 (10224200242231) 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, 81147885 + ... + 81273781.

It is an arithmetic number, because the mean of its divisors is an integer number (698647030380).

Almost surely, 2^{10224200242201} is an apocalyptic number.

10224200242201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10224200242201 is a deficient number, since it is larger than the sum of its proper divisors (954152243879).

10224200242201 is a wasteful number, since it uses less digits than its factorization.

10224200242201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142184.

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

It can be divided in two parts, 10224200 and 242201, that added together give a palindrome (10466401).

The spelling of 10224200242201 in words is "ten trillion, two hundred twenty-four billion, two hundred million, two hundred forty-two thousand, two hundred one".