10100101110009 has 16 divisors (see below), whose sum is σ = 13931702809920. Its totient is φ = 6500967704000.

The previous prime is 10100101109999. The next prime is 10100101110017. The reversal of 10100101110009 is 90001110100101.

It is a cyclic number.

It is not a de Polignac number, because 10100101110009 - 2⁷ = 10100101109881 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10100101110009.

It is not an unprimeable number, because it can be changed into a prime (10100101110059) 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, 115234 + ... + 4495940.

It is an arithmetic number, because the mean of its divisors is an integer number (870731425620).

Almost surely, 2^{10100101110009} is an apocalyptic number.

It is an amenable number.

10100101110009 is a deficient number, since it is larger than the sum of its proper divisors (3831601699911).

10100101110009 is a wasteful number, since it uses less digits than its factorization.

10100101110009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4407240.

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

The spelling of 10100101110009 in words is "ten trillion, one hundred billion, one hundred one million, one hundred ten thousand, nine".