10810967121 has 24 divisors (see below), whose sum is σ = 15708604704. Its totient is φ = 7164581760.

The previous prime is 10810967117. The next prime is 10810967147. The reversal of 10810967121 is 12176901801.

It is not a de Polignac number, because 10810967121 - 2² = 10810967117 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10810967191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1852410 + ... + 1858236.

It is an arithmetic number, because the mean of its divisors is an integer number (654525196).

Almost surely, 2^10810967121 is an apocalyptic number.

It is an amenable number.

10810967121 is a deficient number, since it is larger than the sum of its proper divisors (4897637583).

10810967121 is a wasteful number, since it uses less digits than its factorization.

10810967121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7021 (or 7018 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The spelling of 10810967121 in words is "ten billion, eight hundred ten million, nine hundred sixty-seven thousand, one hundred twenty-one".