9985940101 has 16 divisors (see below), whose sum is σ = 10371727296. Its totient is φ = 9606612096.

The previous prime is 9985940099. The next prime is 9985940113. The reversal of 9985940101 is 1010495899.

It is a cyclic number.

It is not a de Polignac number, because 9985940101 - 2¹ = 9985940099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9985940201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2321785 + ... + 2326081.

It is an arithmetic number, because the mean of its divisors is an integer number (648232956).

Almost surely, 2^9985940101 is an apocalyptic number.

It is an amenable number.

9985940101 is a deficient number, since it is larger than the sum of its proper divisors (385787195).

9985940101 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (9985940100) it forms an eRAP, since the sums of their prime factors are consecutive (5027 and 5028).

9985940101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5028.

The product of its (nonzero) digits is 116640, while the sum is 46.

The square root of 9985940101 is about 99929.6757775187. The cubic root of 9985940101 is about 2153.4245119790.

The spelling of 9985940101 in words is "nine billion, nine hundred eighty-five million, nine hundred forty thousand, one hundred one".