211010000000101 has 16 divisors (see below), whose sum is σ = 212240067060528. Its totient is φ = 209782943539200.

The previous prime is 211010000000099. The next prime is 211010000000117. The reversal of 211010000000101 is 101000000010112.

It can be written as a sum of positive squares in 8 ways, for example, as 22289719997601 + 188720280002500 = 4721199^2 + 13737550^2 .

It is a cyclic number.

It is not a de Polignac number, because 211010000000101 - 2¹ = 211010000000099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211010000000141) 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 15 ways as a sum of consecutive naturals, for example, 414074581 + ... + 414583861.

It is an arithmetic number, because the mean of its divisors is an integer number (13265004191283).

Almost surely, 2^{211010000000101} is an apocalyptic number.

It is an amenable number.

211010000000101 is a deficient number, since it is larger than the sum of its proper divisors (1230067060427).

211010000000101 is a wasteful number, since it uses less digits than its factorization.

211010000000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512232.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 211010000000101 its reverse (101000000010112), we get a palindrome (312010000010213).

The spelling of 211010000000101 in words is "two hundred eleven trillion, ten billion, one hundred one", and thus it is an aban number.