12101585137 has 8 divisors (see below), whose sum is σ = 12118833536. Its totient is φ = 12084351552.

The previous prime is 12101585113. The next prime is 12101585143. The reversal of 12101585137 is 73158510121.

12101585137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12101585137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12101585437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3760153 + ... + 3763369.

It is an arithmetic number, because the mean of its divisors is an integer number (1514854192).

Almost surely, 2^12101585137 is an apocalyptic number.

It is an amenable number.

12101585137 is a deficient number, since it is larger than the sum of its proper divisors (17248399).

12101585137 is a wasteful number, since it uses less digits than its factorization.

12101585137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7407.

The product of its (nonzero) digits is 8400, while the sum is 34.

The spelling of 12101585137 in words is "twelve billion, one hundred one million, five hundred eighty-five thousand, one hundred thirty-seven".