10102202222121 has 12 divisors (see below), whose sum is σ = 14688706102720. Its totient is φ = 6690200146200.

The previous prime is 10102202222051. The next prime is 10102202222173. The reversal of 10102202222121 is 12122220220101.

It is a happy number.

10102202222121 is a `hidden beast` number, since 1 + 0 + 10 + 220 + 222 + 212 + 1 = 666.

It is not a de Polignac number, because 10102202222121 - 2¹⁴ = 10102202205737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102202222094 and 10102202222103.

It is not an unprimeable number, because it can be changed into a prime (10102202292121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3716776501 + ... + 3716779218.

Almost surely, 2^{10102202222121} is an apocalyptic number.

It is an amenable number.

10102202222121 is a deficient number, since it is larger than the sum of its proper divisors (4586503880599).

10102202222121 is a wasteful number, since it uses less digits than its factorization.

10102202222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7433555876 (or 7433555873 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10102202222121 its reverse (12122220220101), we get a palindrome (22224422442222).

The spelling of 10102202222121 in words is "ten trillion, one hundred two billion, two hundred two million, two hundred twenty-two thousand, one hundred twenty-one".