1011100100009 has 32 divisors (see below), whose sum is σ = 1066144343040. Its totient is φ = 958003200000.

The previous prime is 1011100099969. The next prime is 1011100100011. The reversal of 1011100100009 is 9000010011101.

It is a happy number.

1011100100009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1011100100009 - 2⁸ = 1011100099753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011100099966 and 1011100100002.

It is not an unprimeable number, because it can be changed into a prime (1011100100209) 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, 70203209 + ... + 70217609.

It is an arithmetic number, because the mean of its divisors is an integer number (33317010720).

Almost surely, 2^{1011100100009} is an apocalyptic number.

It is an amenable number.

1011100100009 is a deficient number, since it is larger than the sum of its proper divisors (55044243031).

1011100100009 is a wasteful number, since it uses less digits than its factorization.

1011100100009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14873.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 1011100100009 in words is "one trillion, eleven billion, one hundred million, one hundred thousand, nine".