100111201102221 has 8 divisors (see below), whose sum is σ = 135171241994880. Its totient is φ = 65895980472192.

The previous prime is 100111201102207. The next prime is 100111201102223. The reversal of 100111201102221 is 122201102111001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100111201102221 - 2²⁶ = 100111133993357 is a prime.

It is a super-4 number, since 4×100111201102221⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 100111201102221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111201102223) 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 7 ways as a sum of consecutive naturals, for example, 211205065380 + ... + 211205065853.

It is an arithmetic number, because the mean of its divisors is an integer number (16896405249360).

Almost surely, 2^{100111201102221} is an apocalyptic number.

It is an amenable number.

100111201102221 is a deficient number, since it is larger than the sum of its proper divisors (35060040892659).

100111201102221 is an equidigital number, since it uses as much as digits as its factorization.

100111201102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422410131315.

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

Adding to 100111201102221 its reverse (122201102111001), we get a palindrome (222312303213222).

The spelling of 100111201102221 in words is "one hundred trillion, one hundred eleven billion, two hundred one million, one hundred two thousand, two hundred twenty-one".