101011100111009 has 16 divisors (see below), whose sum is σ = 110572034826240. Its totient is φ = 91513310370000.

The previous prime is 101011100110967. The next prime is 101011100111021. The reversal of 101011100111009 is 900111001110101.

It is a cyclic number.

It is not a de Polignac number, because 101011100111009 - 2¹⁶ = 101011100045473 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101011100111209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12736832 + ... + 19085310.

It is an arithmetic number, because the mean of its divisors is an integer number (6910752176640).

Almost surely, 2^{101011100111009} is an apocalyptic number.

It is an amenable number.

101011100111009 is a deficient number, since it is larger than the sum of its proper divisors (9560934715231).

101011100111009 is a wasteful number, since it uses less digits than its factorization.

101011100111009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6353452.

The product of its (nonzero) digits is 9, while the sum is 17.

The spelling of 101011100111009 in words is "one hundred one trillion, eleven billion, one hundred million, one hundred eleven thousand, nine".