10211011101 has 24 divisors (see below), whose sum is σ = 15156925784. Its totient is φ = 6619397760.

The previous prime is 10211011079. The next prime is 10211011123. The reversal of 10211011101 is 10111011201.

10211011101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10211011079) and next prime (10211011123).

It can be written as a sum of positive squares in 4 ways, for example, as 256160025 + 9954851076 = 16005^2 + 99774^2 .

It is not a de Polignac number, because 10211011101 - 2¹³ = 10211002909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211011171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 611475 + ... + 627951.

Almost surely, 2^10211011101 is an apocalyptic number.

It is an amenable number.

10211011101 is a deficient number, since it is larger than the sum of its proper divisors (4945914683).

10211011101 is a wasteful number, since it uses less digits than its factorization.

10211011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18381 (or 18378 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10211011101 its reverse (10111011201), we get a palindrome (20322022302).

The spelling of 10211011101 in words is "ten billion, two hundred eleven million, eleven thousand, one hundred one".