10200100001221 has 96 divisors (see below), whose sum is σ = 11742019027200. Its totient is φ = 8843501721600.

The previous prime is 10200100001213. The next prime is 10200100001243. The reversal of 10200100001221 is 12210000100201.

10200100001221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10200100001221 - 2³ = 10200100001213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10200100001198 and 10200100001207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200100007221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15863296726 + ... + 15863297368.

It is an arithmetic number, because the mean of its divisors is an integer number (122312698200).

Almost surely, 2^{10200100001221} is an apocalyptic number.

It is an amenable number.

10200100001221 is a deficient number, since it is larger than the sum of its proper divisors (1541919025979).

10200100001221 is a wasteful number, since it uses less digits than its factorization.

10200100001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1298 counting only the distinct ones).

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

Adding to 10200100001221 its reverse (12210000100201), we get a palindrome (22410100101422).

The spelling of 10200100001221 in words is "ten trillion, two hundred billion, one hundred million, one thousand, two hundred twenty-one".