10121531827 has 16 divisors (see below), whose sum is σ = 11365466112. Its totient is φ = 8934649920.

The previous prime is 10121531807. The next prime is 10121531839. The reversal of 10121531827 is 72813512101.

10121531827 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10121531827 - 2³¹ = 7974048179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10121531807) 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 15 ways as a sum of consecutive naturals, for example, 11418 + ... + 142735.

It is an arithmetic number, because the mean of its divisors is an integer number (710341632).

Almost surely, 2^10121531827 is an apocalyptic number.

10121531827 is a deficient number, since it is larger than the sum of its proper divisors (1243934285).

10121531827 is a wasteful number, since it uses less digits than its factorization.

10121531827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154338.

The product of its (nonzero) digits is 3360, while the sum is 31.

The spelling of 10121531827 in words is "ten billion, one hundred twenty-one million, five hundred thirty-one thousand, eight hundred twenty-seven".