201110010111009 has 12 divisors (see below), whose sum is σ = 290901957903700. Its totient is φ = 133884238038624.

The previous prime is 201110010111007. The next prime is 201110010111011. The reversal of 201110010111009 is 900111010011102.

It is an interprime number because it is at equal distance from previous prime (201110010111007) and next prime (201110010111011).

It can be written as a sum of positive squares in 2 ways, for example, as 63833708160000 + 137276301951009 = 7989600^2 + 11716497^2 .

It is not a de Polignac number, because 201110010111009 - 2¹ = 201110010111007 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201110010110982 and 201110010111000.

It is not an unprimeable number, because it can be changed into a prime (201110010111007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15758496214 + ... + 15758508975.

Almost surely, 2^{201110010111009} is an apocalyptic number.

It is an amenable number.

201110010111009 is a deficient number, since it is larger than the sum of its proper divisors (89791947792691).

201110010111009 is a wasteful number, since it uses less digits than its factorization.

201110010111009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31517005904 (or 31517005901 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 18.

The spelling of 201110010111009 in words is "two hundred one trillion, one hundred ten billion, ten million, one hundred eleven thousand, nine".