102221133021 has 24 divisors (see below), whose sum is σ = 169678314624. Its totient is φ = 58089350880.

The previous prime is 102221132987. The next prime is 102221133067. The reversal of 102221133021 is 120331122201.

102221133021 is a `hidden beast` number, since 102 + 2 + 211 + 330 + 21 = 666.

It is not a de Polignac number, because 102221133021 - 2¹⁵ = 102221100253 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102221132985 and 102221133003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221133121) 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, 4470801 + ... + 4493606.

It is an arithmetic number, because the mean of its divisors is an integer number (7069929776).

Almost surely, 2^102221133021 is an apocalyptic number.

It is an amenable number.

102221133021 is a deficient number, since it is larger than the sum of its proper divisors (67457181603).

102221133021 is a wasteful number, since it uses less digits than its factorization.

102221133021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8964601 (or 8964598 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102221133021 its reverse (120331122201), we get a palindrome (222552255222).

The spelling of 102221133021 in words is "one hundred two billion, two hundred twenty-one million, one hundred thirty-three thousand, twenty-one".