100001210010221 has 16 divisors (see below), whose sum is σ = 107741585113008. Its totient is φ = 92267691148800.

The previous prime is 100001210010209. The next prime is 100001210010227. The reversal of 100001210010221 is 122010012100001.

It can be written as a sum of positive squares in 8 ways, for example, as 70683197728900 + 29318012281321 = 8407330^2 + 5414611^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001210010221 - 2²⁶ = 100001142901357 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001210010227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1620287855 + ... + 1620349571.

It is an arithmetic number, because the mean of its divisors is an integer number (6733849069563).

Almost surely, 2^{100001210010221} is an apocalyptic number.

It is an amenable number.

100001210010221 is a deficient number, since it is larger than the sum of its proper divisors (7740375102787).

100001210010221 is a wasteful number, since it uses less digits than its factorization.

100001210010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115232.

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

Adding to 100001210010221 its reverse (122010012100001), we get a palindrome (222011222110222).

The spelling of 100001210010221 in words is "one hundred trillion, one billion, two hundred ten million, ten thousand, two hundred twenty-one".