10010712761 has 16 divisors (see below), whose sum is σ = 12122741760. Its totient is φ = 8075149200.

The previous prime is 10010712749. The next prime is 10010712773. The reversal of 10010712761 is 16721701001.

It is an interprime number because it is at equal distance from previous prime (10010712749) and next prime (10010712773).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10010712761 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10010712761.

It is not an unprimeable number, because it can be changed into a prime (10010712461) 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 15 ways as a sum of consecutive naturals, for example, 229151 + ... + 269316.

It is an arithmetic number, because the mean of its divisors is an integer number (757671360).

Almost surely, 2^10010712761 is an apocalyptic number.

It is an amenable number.

10010712761 is a deficient number, since it is larger than the sum of its proper divisors (2112028999).

10010712761 is a wasteful number, since it uses less digits than its factorization.

10010712761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498644.

The product of its (nonzero) digits is 588, while the sum is 26.

The spelling of 10010712761 in words is "ten billion, ten million, seven hundred twelve thousand, seven hundred sixty-one".