10102201202221 has 8 divisors (see below), whose sum is σ = 10542305277504. Its totient is φ = 9662170288320.

The previous prime is 10102201202183. The next prime is 10102201202239. The reversal of 10102201202221 is 12220210220101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10102201202221 - 2¹⁵ = 10102201169453 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102201202195 and 10102201202204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102201202921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18008076 + ... + 18560581.

It is an arithmetic number, because the mean of its divisors is an integer number (1317788159688).

Almost surely, 2^{10102201202221} is an apocalyptic number.

It is an amenable number.

10102201202221 is a deficient number, since it is larger than the sum of its proper divisors (440104075283).

10102201202221 is a wasteful number, since it uses less digits than its factorization.

10102201202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36580691.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10102201202221 its reverse (12220210220101), we get a palindrome (22322411422322).

The spelling of 10102201202221 in words is "ten trillion, one hundred two billion, two hundred one million, two hundred two thousand, two hundred twenty-one".