10100111100009 has 16 divisors (see below), whose sum is σ = 15390782072832. Its totient is φ = 5771440837008.

The previous prime is 10100111099989. The next prime is 10100111100019. The reversal of 10100111100009 is 90000111100101.

It is not a de Polignac number, because 10100111100009 - 2¹³ = 10100111091817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100111100019) 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, 356022 + ... + 4508544.

It is an arithmetic number, because the mean of its divisors is an integer number (961923879552).

Almost surely, 2^{10100111100009} is an apocalyptic number.

It is an amenable number.

10100111100009 is a deficient number, since it is larger than the sum of its proper divisors (5290670972823).

10100111100009 is a wasteful number, since it uses less digits than its factorization.

10100111100009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268356.

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

The spelling of 10100111100009 in words is "ten trillion, one hundred billion, one hundred eleven million, one hundred thousand, nine".