10885688121 has 64 divisors (see below), whose sum is σ = 18525044736. Its totient is φ = 5522260800.

The previous prime is 10885688057. The next prime is 10885688137. The reversal of 10885688121 is 12188658801.

10885688121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10885688121 - 2⁶ = 10885688057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10885688321) 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 63 ways as a sum of consecutive naturals, for example, 1751806 + ... + 1758008.

It is an arithmetic number, because the mean of its divisors is an integer number (289453824).

Almost surely, 2^10885688121 is an apocalyptic number.

10885688121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10885688121 is a deficient number, since it is larger than the sum of its proper divisors (7639356615).

10885688121 is a wasteful number, since it uses less digits than its factorization.

10885688121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6402.

The product of its (nonzero) digits is 245760, while the sum is 48.

The spelling of 10885688121 in words is "ten billion, eight hundred eighty-five million, six hundred eighty-eight thousand, one hundred twenty-one".