100112221012211 has 2 divisors, whose sum is σ = 100112221012212. Its totient is φ = 100112221012210.

The previous prime is 100112221012123. The next prime is 100112221012253. The reversal of 100112221012211 is 112210122211001.

It is a strong prime.

It is an emirp because it is prime and its reverse (112210122211001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100112221012211 is a prime.

It is a super-2 number, since 2×100112221012211² (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 100112221012211.

It is not a weakly prime, because it can be changed into another prime (100112221018211) 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 as a sum of consecutive naturals, namely, 50056110506105 + 50056110506106.

It is an arithmetic number, because the mean of its divisors is an integer number (50056110506106).

Almost surely, 2^{100112221012211} is an apocalyptic number.

100112221012211 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112221012211 is an equidigital number, since it uses as much as digits as its factorization.

100112221012211 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100112221012211 its reverse (112210122211001), we get a palindrome (212322343223212).

The spelling of 100112221012211 in words is "one hundred trillion, one hundred twelve billion, two hundred twenty-one million, twelve thousand, two hundred eleven".