10223344332201 has 512 divisors, whose sum is σ = 19837181952000. Its totient is φ = 4636300032000.

The previous prime is 10223344332197. The next prime is 10223344332217.

It is a happy number.

10223344332201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10223344332201 - 2² = 10223344332197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10223344332241) 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 511 ways as a sum of consecutive naturals, for example, 37724517696 + ... + 37724517966.

It is an arithmetic number, because the mean of its divisors is an integer number (38744496000).

Almost surely, 2^{10223344332201} is an apocalyptic number.

10223344332201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10223344332201 is a deficient number, since it is larger than the sum of its proper divisors (9613837619799).

10223344332201 is a wasteful number, since it uses less digits than its factorization.

10223344332201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 1022334 and 4332201, that added together give a palindrome (5354535).

The spelling of 10223344332201 in words is "ten trillion, two hundred twenty-three billion, three hundred forty-four million, three hundred thirty-two thousand, two hundred one".