110100011001009 has 16 divisors (see below), whose sum is σ = 147123280402560. Its totient is φ = 73238384917760.

The previous prime is 110100011000999. The next prime is 110100011001011. The reversal of 110100011001009 is 900100110001011.

It is a cyclic number.

It is not a de Polignac number, because 110100011001009 - 2⁵ = 110100011000977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110100011201009) 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, 41359609 + ... + 43941065.

It is an arithmetic number, because the mean of its divisors is an integer number (9195205025160).

Almost surely, 2^{110100011001009} is an apocalyptic number.

It is an amenable number.

110100011001009 is a deficient number, since it is larger than the sum of its proper divisors (37023269401551).

110100011001009 is a wasteful number, since it uses less digits than its factorization.

110100011001009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612760.

The product of its (nonzero) digits is 9, while the sum is 15.

The spelling of 110100011001009 in words is "one hundred ten trillion, one hundred billion, eleven million, one thousand, nine".