100101100985 has 4 divisors (see below), whose sum is σ = 120121321188. Its totient is φ = 80080880784.

The previous prime is 100101100937. The next prime is 100101100993. The reversal of 100101100985 is 589001101001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 589001101001 = 33023 ⋅17836087.

It can be written as a sum of positive squares in 2 ways, for example, as 65546752441 + 34554348544 = 256021^2 + 185888^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101100985 - 2²⁴ = 100084323769 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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, 10010110094 + ... + 10010110103.

It is an arithmetic number, because the mean of its divisors is an integer number (30030330297).

Almost surely, 2^100101100985 is an apocalyptic number.

It is an amenable number.

100101100985 is a deficient number, since it is larger than the sum of its proper divisors (20020220203).

100101100985 is an equidigital number, since it uses as much as digits as its factorization.

100101100985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20020220202.

The product of its (nonzero) digits is 360, while the sum is 26.

Adding to 100101100985 its reverse (589001101001), we get a palindrome (689102201986).

The spelling of 100101100985 in words is "one hundred billion, one hundred one million, one hundred thousand, nine hundred eighty-five".