9810010011011 has 64 divisors (see below), whose sum is σ = 12443758464000. Its totient is φ = 7703143918848.

The previous prime is 9810010011007. The next prime is 9810010011029. The reversal of 9810010011011 is 1101100100189.

It is not a de Polignac number, because 9810010011011 - 2² = 9810010011007 is a prime.

It is a super-2 number, since 2×9810010011011² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9810010011001) 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 63 ways as a sum of consecutive naturals, for example, 39179231 + ... + 39428823.

It is an arithmetic number, because the mean of its divisors is an integer number (194433726000).

Almost surely, 2^{9810010011011} is an apocalyptic number.

9810010011011 is a deficient number, since it is larger than the sum of its proper divisors (2633748452989).

9810010011011 is a wasteful number, since it uses less digits than its factorization.

9810010011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249833 (or 249819 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 23.

The spelling of 9810010011011 in words is "nine trillion, eight hundred ten billion, ten million, eleven thousand, eleven".