100101221100201 has 16 divisors (see below), whose sum is σ = 134732028487104. Its totient is φ = 66102432098304.

The previous prime is 100101221100187. The next prime is 100101221100203. The reversal of 100101221100201 is 102001122101001.

It is not a de Polignac number, because 100101221100201 - 2⁶ = 100101221100137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100101221100203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16295736 + ... + 21581321.

It is an arithmetic number, because the mean of its divisors is an integer number (8420751780444).

Almost surely, 2^{100101221100201} is an apocalyptic number.

It is an amenable number.

100101221100201 is a deficient number, since it is larger than the sum of its proper divisors (34630807386903).

100101221100201 is a wasteful number, since it uses less digits than its factorization.

100101221100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37885400.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100101221100201 its reverse (102001122101001), we get a palindrome (202102343201202).

The spelling of 100101221100201 in words is "one hundred trillion, one hundred one billion, two hundred twenty-one million, one hundred thousand, two hundred one".