1100010100009 has 8 divisors (see below), whose sum is σ = 1111014500040. Its totient is φ = 1089007920000.

The previous prime is 1100010100003. The next prime is 1100010100043. The reversal of 1100010100009 is 9000010100011.

It can be written as a sum of positive squares in 4 ways, for example, as 354058320784 + 745951779225 = 595028^2 + 863685^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1100010100009 - 2⁵ = 1100010099977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1100010100003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 449997 + ... + 1550005.

It is an arithmetic number, because the mean of its divisors is an integer number (138876812505).

Almost surely, 2^{1100010100009} is an apocalyptic number.

It is an amenable number.

1100010100009 is a deficient number, since it is larger than the sum of its proper divisors (11004400031).

1100010100009 is a wasteful number, since it uses less digits than its factorization.

1100010100009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110011.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 1100010100009 in words is "one trillion, one hundred billion, ten million, one hundred thousand, nine".