102223223133201 has 24 divisors (see below), whose sum is σ = 151098675535080. Its totient is φ = 66571010528256.

The previous prime is 102223223133169. The next prime is 102223223133209. The reversal of 102223223133201 is 102331322322201.

102223223133201 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 2 + 3 + 22 + 313 + 320 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32121519732225 + 70101703400976 = 5667585^2 + 8372676^2 .

It is not a de Polignac number, because 102223223133201 - 2⁵ = 102223223133169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102223223133209) 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 23 ways as a sum of consecutive naturals, for example, 467804416 + ... + 468022881.

It is an arithmetic number, because the mean of its divisors is an integer number (6295778147295).

Almost surely, 2^{102223223133201} is an apocalyptic number.

It is an amenable number.

102223223133201 is a deficient number, since it is larger than the sum of its proper divisors (48875452401879).

102223223133201 is a wasteful number, since it uses less digits than its factorization.

102223223133201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935827585 (or 935827582 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 102223223133201 its reverse (102331322322201), we get a palindrome (204554545455402).

The spelling of 102223223133201 in words is "one hundred two trillion, two hundred twenty-three billion, two hundred twenty-three million, one hundred thirty-three thousand, two hundred one".