10001011110966 has 48 divisors (see below), whose sum is σ = 22897196674560. Its totient is φ = 3148364522160.

The previous prime is 10001011110931. The next prime is 10001011110967. The reversal of 10001011110966 is 66901111010001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001011110967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152859900 + ... + 152925311.

It is an arithmetic number, because the mean of its divisors is an integer number (477024930720).

Almost surely, 2^{10001011110966} is an apocalyptic number.

10001011110966 is an abundant number, since it is smaller than the sum of its proper divisors (12896185563594).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10001011110966 is a wasteful number, since it uses less digits than its factorization.

10001011110966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305785321 (or 305785318 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 27.

Adding to 10001011110966 its reverse (66901111010001), we get a palindrome (76902122120967).

The spelling of 10001011110966 in words is "ten trillion, one billion, eleven million, one hundred ten thousand, nine hundred sixty-six".