211110011001 has 24 divisors (see below), whose sum is σ = 313213339400. Its totient is φ = 136920865536.

The previous prime is 211110010981. The next prime is 211110011003. The reversal of 211110011001 is 100110011112.

It can be written as a sum of positive squares in 4 ways, for example, as 179576775225 + 31533235776 = 423765^2 + 177576^2 .

It is not a de Polignac number, because 211110011001 - 2¹¹ = 211110008953 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 not an unprimeable number, because it can be changed into a prime (211110011003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3450525 + ... + 3511173.

Almost surely, 2^211110011001 is an apocalyptic number.

It is an amenable number.

211110011001 is a deficient number, since it is larger than the sum of its proper divisors (102103328399).

211110011001 is a wasteful number, since it uses less digits than its factorization.

211110011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71145 (or 71142 counting only the distinct ones).

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

Adding to 211110011001 its reverse (100110011112), we get a palindrome (311220022113).

The spelling of 211110011001 in words is "two hundred eleven billion, one hundred ten million, eleven thousand, one".