101100011011009 has 2 divisors, whose sum is σ = 101100011011010. Its totient is φ = 101100011011008.

The previous prime is 101100011011003. The next prime is 101100011011061. The reversal of 101100011011009 is 900110110001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69003707081409 + 32096303929600 = 8306847^2 + 5665360^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100011011009 - 2⁹ = 101100011010497 is a prime.

It is a super-3 number, since 3×101100011011009³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 101100011010983 and 101100011011001.

It is not a weakly prime, because it can be changed into another prime (101100011011003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550005505504 + 50550005505505.

It is an arithmetic number, because the mean of its divisors is an integer number (50550005505505).

Almost surely, 2^{101100011011009} is an apocalyptic number.

It is an amenable number.

101100011011009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100011011009 is an equidigital number, since it uses as much as digits as its factorization.

101100011011009 is an evil number, because the sum of its binary digits is even.

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

The spelling of 101100011011009 in words is "one hundred one trillion, one hundred billion, eleven million, eleven thousand, nine".