100010010985 has 8 divisors (see below), whose sum is σ = 121074067080. Its totient is φ = 79299972864.

The previous prime is 100010010983. The next prime is 100010011007. The reversal of 100010010985 is 589010010001.

It can be written as a sum of positive squares in 4 ways, for example, as 11651259481 + 88358751504 = 107941^2 + 297252^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100010010985 - 2¹ = 100010010983 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100010010983) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 88503870 + ... + 88504999.

It is an arithmetic number, because the mean of its divisors is an integer number (15134258385).

Almost surely, 2^100010010985 is an apocalyptic number.

It is an amenable number.

100010010985 is a deficient number, since it is larger than the sum of its proper divisors (21064056095).

100010010985 is a wasteful number, since it uses less digits than its factorization.

100010010985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177008987.

The product of its (nonzero) digits is 360, while the sum is 25.

Adding to 100010010985 its reverse (589010010001), we get a palindrome (689020020986).

The spelling of 100010010985 in words is "one hundred billion, ten million, ten thousand, nine hundred eighty-five".