10102009985 has 8 divisors (see below), whose sum is σ = 12123435240. Its totient is φ = 8080925824.

The previous prime is 10102009969. The next prime is 10102009987. The reversal of 10102009985 is 58990020101.

It can be written as a sum of positive squares in 4 ways, for example, as 207331201 + 9894678784 = 14399^2 + 99472^2 .

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 10102009985 - 2⁴ = 10102009969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10102009987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14822 + ... + 142911.

It is an arithmetic number, because the mean of its divisors is an integer number (1515429405).

Almost surely, 2^10102009985 is an apocalyptic number.

It is an amenable number.

10102009985 is a deficient number, since it is larger than the sum of its proper divisors (2021425255).

10102009985 is a wasteful number, since it uses less digits than its factorization.

10102009985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170547.

The product of its (nonzero) digits is 6480, while the sum is 35.

The spelling of 10102009985 in words is "ten billion, one hundred two million, nine thousand, nine hundred eighty-five".