10100010110009 has 4 divisors (see below), whose sum is σ = 10100248590720. Its totient is φ = 10099771629300.

The previous prime is 10100010109967. The next prime is 10100010110017. The reversal of 10100010110009 is 90001101000101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100010110009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100010109975 and 10100010110002.

It is not an unprimeable number, because it can be changed into a prime (10100040110009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 119176817 + ... + 119261534.

It is an arithmetic number, because the mean of its divisors is an integer number (2525062147680).

Almost surely, 2^{10100010110009} is an apocalyptic number.

It is an amenable number.

10100010110009 is a deficient number, since it is larger than the sum of its proper divisors (238480711).

10100010110009 is an equidigital number, since it uses as much as digits as its factorization.

10100010110009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238480710.

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

The spelling of 10100010110009 in words is "ten trillion, one hundred billion, ten million, one hundred ten thousand, nine".