102200022102221 has 4 divisors (see below), whose sum is σ = 108211788108252. Its totient is φ = 96188256096192.

The previous prime is 102200022102173. The next prime is 102200022102247. The reversal of 102200022102221 is 122201220002201.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 55010197936996 + 47189824165225 = 7416886^2 + 6869485^2 .

It is a cyclic number.

It is not a de Polignac number, because 102200022102221 - 2¹⁰ = 102200022101197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17), and also a Moran number because the ratio is a prime number: 6011766006013 = 102200022102221 / (1 + 0 + 2 + 2 + 0 + 0 + 0 + 2 + 2 + 1 + 0 + 2 + 2 + 2 + 1).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102200022102221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200022192221) 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 3 ways as a sum of consecutive naturals, for example, 3005883002990 + ... + 3005883003023.

It is an arithmetic number, because the mean of its divisors is an integer number (27052947027063).

Almost surely, 2^{102200022102221} is an apocalyptic number.

It is an amenable number.

102200022102221 is a deficient number, since it is larger than the sum of its proper divisors (6011766006031).

102200022102221 is an equidigital number, since it uses as much as digits as its factorization.

102200022102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6011766006030.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102200022102221 its reverse (122201220002201), we get a palindrome (224401242104422).

The spelling of 102200022102221 in words is "one hundred two trillion, two hundred billion, twenty-two million, one hundred two thousand, two hundred twenty-one".