10202221322033 has 8 divisors (see below), whose sum is σ = 10990930147176. Its totient is φ = 9414072864000.

The previous prime is 10202221321973. The next prime is 10202221322071. The reversal of 10202221322033 is 33022312220201.

It can be written as a sum of positive squares in 4 ways, for example, as 334537305664 + 9867684016369 = 578392^2 + 3141287^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10202221322033 - 2⁶ = 10202221321969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10202221322333) 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 7 ways as a sum of consecutive naturals, for example, 140053958 + ... + 140126783.

It is an arithmetic number, because the mean of its divisors is an integer number (1373866268397).

Almost surely, 2^{10202221322033} is an apocalyptic number.

10202221322033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10202221322033 is a deficient number, since it is larger than the sum of its proper divisors (788708825143).

10202221322033 is a wasteful number, since it uses less digits than its factorization.

10202221322033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280183555.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 10202221322033 its reverse (33022312220201), we get a palindrome (43224533542234).

The spelling of 10202221322033 in words is "ten trillion, two hundred two billion, two hundred twenty-one million, three hundred twenty-two thousand, thirty-three".