10092729182011 has 12 divisors (see below), whose sum is σ = 12431140626168. Its totient is φ = 8142033625152.

The previous prime is 10092729181961. The next prime is 10092729182071. The reversal of 10092729182011 is 11028192729001.

It is a happy number.

It is not a de Polignac number, because 10092729182011 - 2¹³ = 10092729173819 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10092729182071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6058059901 + ... + 6058061566.

It is an arithmetic number, because the mean of its divisors is an integer number (1035928385514).

Almost surely, 2^{10092729182011} is an apocalyptic number.

10092729182011 is a deficient number, since it is larger than the sum of its proper divisors (2338411444157).

10092729182011 is a wasteful number, since it uses less digits than its factorization.

10092729182011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12116121498 (or 12116121491 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 43.

The spelling of 10092729182011 in words is "ten trillion, ninety-two billion, seven hundred twenty-nine million, one hundred eighty-two thousand, eleven".