10221344312201 has 4 divisors (see below), whose sum is σ = 11150557431504. Its totient is φ = 9292131192900.

The previous prime is 10221344312191. The next prime is 10221344312219.

It is a happy number.

10221344312201 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10221344312201 - 2¹⁴ = 10221344295817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10221344312251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 464606559635 + ... + 464606559656.

It is an arithmetic number, because the mean of its divisors is an integer number (2787639357876).

Almost surely, 2^{10221344312201} is an apocalyptic number.

10221344312201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10221344312201 is a deficient number, since it is larger than the sum of its proper divisors (929213119303).

10221344312201 is an equidigital number, since it uses as much as digits as its factorization.

10221344312201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929213119302.

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 1022134 and 4312201, that added together give a palindrome (5334335).

The spelling of 10221344312201 in words is "ten trillion, two hundred twenty-one billion, three hundred forty-four million, three hundred twelve thousand, two hundred one".