10001006110106 has 64 divisors (see below), whose sum is σ = 17083246878720. Its totient is φ = 4349943000000.

The previous prime is 10001006110079. The next prime is 10001006110133. The reversal of 10001006110106 is 60101160010001.

It is an interprime number because it is at equal distance from previous prime (10001006110079) and next prime (10001006110133).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36064481 + ... + 36340731.

It is an arithmetic number, because the mean of its divisors is an integer number (266925732480).

Almost surely, 2^{10001006110106} is an apocalyptic number.

10001006110106 is a deficient number, since it is larger than the sum of its proper divisors (7082240768614).

10001006110106 is a wasteful number, since it uses less digits than its factorization.

10001006110106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276891.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 10001006110106 its reverse (60101160010001), we get a palindrome (70102166120107).

The spelling of 10001006110106 in words is "ten trillion, one billion, six million, one hundred ten thousand, one hundred six".