10000200100221 has 12 divisors (see below), whose sum is σ = 14681532388380. Its totient is φ = 6557508262080.

The previous prime is 10000200100199. The next prime is 10000200100249. The reversal of 10000200100221 is 12200100200001.

It can be written as a sum of positive squares in 2 ways, for example, as 553705644996 + 9446494455225 = 744114^2 + 3073515^2 .

It is not a de Polignac number, because 10000200100221 - 2¹⁵ = 10000200067453 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000200100021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9107649816 + ... + 9107650913.

It is an arithmetic number, because the mean of its divisors is an integer number (1223461032365).

Almost surely, 2^{10000200100221} is an apocalyptic number.

It is an amenable number.

10000200100221 is a deficient number, since it is larger than the sum of its proper divisors (4681332288159).

10000200100221 is a wasteful number, since it uses less digits than its factorization.

10000200100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18215300796 (or 18215300793 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10000200100221 its reverse (12200100200001), we get a palindrome (22200300300222).

The spelling of 10000200100221 in words is "ten trillion, two hundred million, one hundred thousand, two hundred twenty-one".