101011011111009 has 20 divisors (see below), whose sum is σ = 157453556774976. Its totient is φ = 64412818678296.

The previous prime is 101011011110929. The next prime is 101011011111041. The reversal of 101011011111009 is 900111110110101.

It is not a de Polignac number, because 101011011111009 - 2³⁶ = 100942291634273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101011011110982 and 101011011111000.

It is not an unprimeable number, because it can be changed into a prime (101011011111209) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27109770309 + ... + 27109774034.

Almost surely, 2^{101011011111009} is an apocalyptic number.

It is an amenable number.

101011011111009 is a deficient number, since it is larger than the sum of its proper divisors (56442545663967).

101011011111009 is an equidigital number, since it uses as much as digits as its factorization.

101011011111009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54219544378 (or 54219544369 counting only the distinct ones).

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

The spelling of 101011011111009 in words is "one hundred one trillion, eleven billion, eleven million, one hundred eleven thousand, nine".