100222102102211 has 8 divisors (see below), whose sum is σ = 100240507865664. Its totient is φ = 100203697883520.

The previous prime is 100222102102201. The next prime is 100222102102237. The reversal of 100222102102211 is 112201201222001.

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

It is a cyclic number.

It is not a de Polignac number, because 100222102102211 - 2⁶ = 100222102102147 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 100222102102211.

It is not an unprimeable number, because it can be changed into a prime (100222102102201) 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, 133621211 + ... + 134369163.

It is an arithmetic number, because the mean of its divisors is an integer number (12530063483208).

Almost surely, 2^{100222102102211} is an apocalyptic number.

100222102102211 is a deficient number, since it is larger than the sum of its proper divisors (18405763453).

100222102102211 is an equidigital number, since it uses as much as digits as its factorization.

100222102102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772381.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100222102102211 its reverse (112201201222001), we get a palindrome (212423303324212).

The spelling of 100222102102211 in words is "one hundred trillion, two hundred twenty-two billion, one hundred two million, one hundred two thousand, two hundred eleven".