100201111102221 has 32 divisors (see below), whose sum is σ = 141568060233600. Its totient is φ = 62823438397440.

The previous prime is 100201111102219. The next prime is 100201111102259. The reversal of 100201111102221 is 122201111102001.

It is a happy number.

It is not a de Polignac number, because 100201111102221 - 2¹ = 100201111102219 is a prime.

It is a super-2 number, since 2×100201111102221² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100201111102221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201111102291) 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, 1612708326 + ... + 1612770456.

It is an arithmetic number, because the mean of its divisors is an integer number (4424001882300).

Almost surely, 2^{100201111102221} is an apocalyptic number.

It is an amenable number.

100201111102221 is a deficient number, since it is larger than the sum of its proper divisors (41366949131379).

100201111102221 is a wasteful number, since it uses less digits than its factorization.

100201111102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85709.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100201111102221 its reverse (122201111102001), we get a palindrome (222402222204222).

The spelling of 100201111102221 in words is "one hundred trillion, two hundred one billion, one hundred eleven million, one hundred two thousand, two hundred twenty-one".