10202100100221 has 32 divisors (see below), whose sum is σ = 13829725848960. Its totient is φ = 6688836071424.

The previous prime is 10202100100211. The next prime is 10202100100237. The reversal of 10202100100221 is 12200100120201.

It is not a de Polignac number, because 10202100100221 - 2¹⁰ = 10202100099197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10202100100197 and 10202100100206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202100100211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342878281 + ... + 342908033.

It is an arithmetic number, because the mean of its divisors is an integer number (432178932780).

Almost surely, 2^{10202100100221} is an apocalyptic number.

It is an amenable number.

10202100100221 is a deficient number, since it is larger than the sum of its proper divisors (3627625748739).

10202100100221 is a wasteful number, since it uses less digits than its factorization.

10202100100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37245.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10202100100221 its reverse (12200100120201), we get a palindrome (22402200220422).

The spelling of 10202100100221 in words is "ten trillion, two hundred two billion, one hundred million, one hundred thousand, two hundred twenty-one".