1001100106985 has 32 divisors (see below), whose sum is σ = 1379598030720. Its totient is φ = 689707353600.

The previous prime is 1001100106949. The next prime is 1001100107003. The reversal of 1001100106985 is 5896010011001.

It is not a de Polignac number, because 1001100106985 - 2⁶ = 1001100106921 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25491965 + ... + 25531205.

It is an arithmetic number, because the mean of its divisors is an integer number (43112438460).

Almost surely, 2^{1001100106985} is an apocalyptic number.

It is an amenable number.

1001100106985 is a deficient number, since it is larger than the sum of its proper divisors (378497923735).

1001100106985 is a wasteful number, since it uses less digits than its factorization.

1001100106985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63689.

The product of its (nonzero) digits is 2160, while the sum is 32.

Adding to 1001100106985 its reverse (5896010011001), we get a palindrome (6897110117986).

The spelling of 1001100106985 in words is "one trillion, one billion, one hundred million, one hundred six thousand, nine hundred eighty-five".