10101100011009 has 32 divisors (see below), whose sum is σ = 15889363869696. Its totient is φ = 5585619029760.

The previous prime is 10101100011001. The next prime is 10101100011011. The reversal of 10101100011009 is 90011000110101.

10101100011009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10101100011009 - 2³ = 10101100011001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10101100011001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15205714 + ... + 15856100.

It is an arithmetic number, because the mean of its divisors is an integer number (496542620928).

Almost surely, 2^{10101100011009} is an apocalyptic number.

It is an amenable number.

10101100011009 is a deficient number, since it is larger than the sum of its proper divisors (5788263858687).

10101100011009 is a wasteful number, since it uses less digits than its factorization.

10101100011009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674285.

The product of its (nonzero) digits is 9, while the sum is 15.

The spelling of 10101100011009 in words is "ten trillion, one hundred one billion, one hundred million, eleven thousand, nine".