11001110101009 has 6 divisors (see below), whose sum is σ = 12797209709394. Its totient is φ = 9429522943680.

The previous prime is 11001110100971. The next prime is 11001110101031. The reversal of 11001110101009 is 90010101110011.

It can be written as a sum of positive squares in only one way, i.e., 5703618650625 + 5297491450384 = 2388225^2 + 2301628^2 .

It is not a de Polignac number, because 11001110101009 - 2³¹ = 10998962617361 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11001110100983 and 11001110101001.

It is not an unprimeable number, because it can be changed into a prime (11001110101049) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 112256225472 + ... + 112256225569.

It is an arithmetic number, because the mean of its divisors is an integer number (2132868284899).

Almost surely, 2^{11001110101009} is an apocalyptic number.

It is an amenable number.

11001110101009 is a deficient number, since it is larger than the sum of its proper divisors (1796099608385).

11001110101009 is an equidigital number, since it uses as much as digits as its factorization.

11001110101009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224512451055 (or 224512451048 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 11001110101009 in words is "eleven trillion, one billion, one hundred ten million, one hundred one thousand, nine".