10002100110221 has 16 divisors (see below), whose sum is σ = 10863434693376. Its totient is φ = 9172860865536.

The previous prime is 10002100110199. The next prime is 10002100110239. The reversal of 10002100110221 is 12201100120001.

It is a cyclic number.

It is not a de Polignac number, because 10002100110221 - 2³⁸ = 9727222203277 is a prime.

It is a super-2 number, since 2×10002100110221² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002100110521) 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 15 ways as a sum of consecutive naturals, for example, 27391916 + ... + 27754661.

It is an arithmetic number, because the mean of its divisors is an integer number (678964668336).

Almost surely, 2^{10002100110221} is an apocalyptic number.

It is an amenable number.

10002100110221 is a deficient number, since it is larger than the sum of its proper divisors (861334583155).

10002100110221 is a wasteful number, since it uses less digits than its factorization.

10002100110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55146868.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10002100110221 its reverse (12201100120001), we get a palindrome (22203200230222).

The spelling of 10002100110221 in words is "ten trillion, two billion, one hundred million, one hundred ten thousand, two hundred twenty-one".