10100200100221 has 48 divisors (see below), whose sum is σ = 13401225129600. Its totient is φ = 7430609450880.

The previous prime is 10100200100171. The next prime is 10100200100267. The reversal of 10100200100221 is 12200100200101.

It is not a de Polignac number, because 10100200100221 - 2¹⁵ = 10100200067453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100200100198 and 10100200100207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100200100281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3644235 + ... + 5786263.

It is an arithmetic number, because the mean of its divisors is an integer number (279192190200).

Almost surely, 2^{10100200100221} is an apocalyptic number.

10100200100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100200100221 is a deficient number, since it is larger than the sum of its proper divisors (3301025029379).

10100200100221 is a wasteful number, since it uses less digits than its factorization.

10100200100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142370 (or 2142359 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10100200100221 its reverse (12200100200101), we get a palindrome (22300300300322).

The spelling of 10100200100221 in words is "ten trillion, one hundred billion, two hundred million, one hundred thousand, two hundred twenty-one".