211010891101 has 2 divisors, whose sum is σ = 211010891102. Its totient is φ = 211010891100.

The previous prime is 211010891089. The next prime is 211010891129. The reversal of 211010891101 is 101198010112.

211010891101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 138797228025 + 72213663076 = 372555^2 + 268726^2 .

It is a cyclic number.

It is not a de Polignac number, because 211010891101 - 2¹⁷ = 211010760029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211010891131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105505445550 + 105505445551.

It is an arithmetic number, because the mean of its divisors is an integer number (105505445551).

Almost surely, 2^211010891101 is an apocalyptic number.

It is an amenable number.

211010891101 is a deficient number, since it is larger than the sum of its proper divisors (1).

211010891101 is an equidigital number, since it uses as much as digits as its factorization.

211010891101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 25.

The spelling of 211010891101 in words is "two hundred eleven billion, ten million, eight hundred ninety-one thousand, one hundred one".