100222211111201 has 16 divisors (see below), whose sum is σ = 105605312491200. Its totient is φ = 94849980825600.

The previous prime is 100222211111177. The next prime is 100222211111219. The reversal of 100222211111201 is 102111112222001.

It is a cyclic number.

It is not a de Polignac number, because 100222211111201 - 2⁴² = 95824164600097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100222211111201.

It is not an unprimeable number, because it can be changed into a prime (100222211116201) 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, 77579681 + ... + 78860961.

It is an arithmetic number, because the mean of its divisors is an integer number (6600332030700).

Almost surely, 2^{100222211111201} is an apocalyptic number.

It is an amenable number.

100222211111201 is a deficient number, since it is larger than the sum of its proper divisors (5383101379999).

100222211111201 is a wasteful number, since it uses less digits than its factorization.

100222211111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285520.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 100222211111201 its reverse (102111112222001), we get a palindrome (202333323333202).

The spelling of 100222211111201 in words is "one hundred trillion, two hundred twenty-two billion, two hundred eleven million, one hundred eleven thousand, two hundred one".