10801122144 has 24 divisors (see below), whose sum is σ = 28352945880. Its totient is φ = 3600374016.

The previous prime is 10801122133. The next prime is 10801122173. The reversal of 10801122144 is 44122110801.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56255749 + ... + 56255940.

It is an arithmetic number, because the mean of its divisors is an integer number (1181372745).

Almost surely, 2^10801122144 is an apocalyptic number.

It is an amenable number.

10801122144 is an abundant number, since it is smaller than the sum of its proper divisors (17551823736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10801122144 is a wasteful number, since it uses less digits than its factorization.

10801122144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112511702 (or 112511694 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 10801122144 its reverse (44122110801), we get a palindrome (54923232945).

The spelling of 10801122144 in words is "ten billion, eight hundred one million, one hundred twenty-two thousand, one hundred forty-four".