102224383422201 has 72 divisors (see below), whose sum is σ = 154134945304704. Its totient is φ = 65269743960960.

The previous prime is 102224383422047. The next prime is 102224383422209.

102224383422201 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 24 + 3 + 8 + 3 + 422 + 201 = 666.

102224383422201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102224383422201 - 2¹⁹ = 102224382897913 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102224383422209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1133376016 + ... + 1133466206.

It is an arithmetic number, because the mean of its divisors is an integer number (2140763129232).

Almost surely, 2^{102224383422201} is an apocalyptic number.

It is an amenable number.

102224383422201 is a deficient number, since it is larger than the sum of its proper divisors (51910561882503).

102224383422201 is a wasteful number, since it uses less digits than its factorization.

102224383422201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91711 (or 91671 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 102224383422201 in words is "one hundred two trillion, two hundred twenty-four billion, three hundred eighty-three million, four hundred twenty-two thousand, two hundred one".