10110122221100 has 108 divisors (see below), whose sum is σ = 24262678229832. Its totient is φ = 3653852716800.

The previous prime is 10110122221079. The next prime is 10110122221117. The reversal of 10110122221100 is 112222101101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 590729 + ... + 4535328.

It is an arithmetic number, because the mean of its divisors is an integer number (224654428054).

Almost surely, 2^{10110122221100} is an apocalyptic number.

10110122221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110122221100 is an abundant number, since it is smaller than the sum of its proper divisors (14152556008732).

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

10110122221100 is a wasteful number, since it uses less digits than its factorization.

10110122221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5126256 (or 5126238 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10110122221100 its reverse (112222101101), we get a palindrome (10222344322201).

The spelling of 10110122221100 in words is "ten trillion, one hundred ten billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred".