100101011101211 has 2 divisors, whose sum is σ = 100101011101212. Its totient is φ = 100101011101210.

The previous prime is 100101011101111. The next prime is 100101011101243. The reversal of 100101011101211 is 112101110101001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100101011101211 - 2¹⁴ = 100101011084827 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100101011101192 and 100101011101201.

It is not a weakly prime, because it can be changed into another prime (100101011101111) 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, 50050505550605 + 50050505550606.

It is an arithmetic number, because the mean of its divisors is an integer number (50050505550606).

Almost surely, 2^{100101011101211} is an apocalyptic number.

100101011101211 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101011101211 is an equidigital number, since it uses as much as digits as its factorization.

100101011101211 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 11.

Adding to 100101011101211 its reverse (112101110101001), we get a palindrome (212202121202212).

The spelling of 100101011101211 in words is "one hundred trillion, one hundred one billion, eleven million, one hundred one thousand, two hundred eleven".