10201340110221 has 24 divisors (see below), whose sum is σ = 16802207243640. Its totient is φ = 5908468478976.

The previous prime is 10201340110219. The next prime is 10201340110229. The reversal of 10201340110221 is 12201104310201.

10201340110221 is a `hidden beast` number, since 1 + 0 + 20 + 13 + 401 + 10 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2404093664196 + 7797246446025 = 1550514^2 + 2792355^2 .

It is not a de Polignac number, because 10201340110221 - 2¹ = 10201340110219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10201340110194 and 10201340110203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201340110229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2564437456 + ... + 2564441433.

It is an arithmetic number, because the mean of its divisors is an integer number (700091968485).

Almost surely, 2^{10201340110221} is an apocalyptic number.

It is an amenable number.

10201340110221 is a deficient number, since it is larger than the sum of its proper divisors (6600867133419).

10201340110221 is a wasteful number, since it uses less digits than its factorization.

10201340110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128878925 (or 5128878922 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10201340110221 its reverse (12201104310201), we get a palindrome (22402444420422).

The spelling of 10201340110221 in words is "ten trillion, two hundred one billion, three hundred forty million, one hundred ten thousand, two hundred twenty-one".