100001101000211 has 2 divisors, whose sum is σ = 100001101000212. Its totient is φ = 100001101000210.

The previous prime is 100001101000169. The next prime is 100001101000231. The reversal of 100001101000211 is 112000101100001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100001101000211 - 2¹⁸ = 100001100738067 is a prime.

It is not a weakly prime, because it can be changed into another prime (100001101000231) 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, 50000550500105 + 50000550500106.

It is an arithmetic number, because the mean of its divisors is an integer number (50000550500106).

Almost surely, 2^{100001101000211} is an apocalyptic number.

100001101000211 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001101000211 is an equidigital number, since it uses as much as digits as its factorization.

100001101000211 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100001101000211 its reverse (112000101100001), we get a palindrome (212001202100212).

The spelling of 100001101000211 in words is "one hundred trillion, one billion, one hundred one million, two hundred eleven", and thus it is an aban number.