211101111001 has 12 divisors (see below), whose sum is σ = 232116692836. Its totient is φ = 191843989920.

The previous prime is 211101110981. The next prime is 211101111037. The reversal of 211101111001 is 100111101112.

211101111001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 168879080601 + 42222030400 = 410949^2 + 205480^2 .

It is not a de Polignac number, because 211101111001 - 2¹³ = 211101102809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211101111101) 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 in 11 ways as a sum of consecutive naturals, for example, 53911 + ... + 652003.

Almost surely, 2^211101111001 is an apocalyptic number.

It is an amenable number.

211101111001 is a deficient number, since it is larger than the sum of its proper divisors (21015581835).

211101111001 is a wasteful number, since it uses less digits than its factorization.

211101111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601032 (or 601021 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 211101111001 its reverse (100111101112), we get a palindrome (311212212113).

It can be divided in two parts, 21110111 and 1001, that added together give a palindrome (21111112).

The spelling of 211101111001 in words is "two hundred eleven billion, one hundred one million, one hundred eleven thousand, one".