101010111111009 has 12 divisors (see below), whose sum is σ = 147194675189796. Its totient is φ = 66744144214272.

The previous prime is 101010111110947. The next prime is 101010111111043. The reversal of 101010111111009 is 900111111010101.

It can be written as a sum of positive squares in 2 ways, for example, as 15586822440225 + 85423288670784 = 3948015^2 + 9242472^2 .

It is not a de Polignac number, because 101010111111009 - 2¹⁵ = 101010111078241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101010111110982 and 101010111111000.

It is not an unprimeable number, because it can be changed into a prime (101010111111209) 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, 49660820572 + ... + 49660822605.

It is an arithmetic number, because the mean of its divisors is an integer number (12266222932483).

Almost surely, 2^{101010111111009} is an apocalyptic number.

It is an amenable number.

101010111111009 is a deficient number, since it is larger than the sum of its proper divisors (46184564078787).

101010111111009 is a wasteful number, since it uses less digits than its factorization.

101010111111009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99321643296 (or 99321643293 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 18.

The spelling of 101010111111009 in words is "one hundred one trillion, ten billion, one hundred eleven million, one hundred eleven thousand, nine".