10110022100 has 36 divisors (see below), whose sum is σ = 21944691804. Its totient is φ = 4042913280.

The previous prime is 10110022093. The next prime is 10110022127. The reversal of 10110022100 is 122001101.

10110022100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4545424 + 10105476676 = 2132^2 + 100526^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 428204 + ... + 451196.

Almost surely, 2^10110022100 is an apocalyptic number.

10110022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110022100 is an abundant number, since it is smaller than the sum of its proper divisors (11834669704).

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

10110022100 is a wasteful number, since it uses less digits than its factorization.

10110022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27404 (or 27397 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10110022100 its reverse (122001101), we get a palindrome (10232023201).

The spelling of 10110022100 in words is "ten billion, one hundred ten million, twenty-two thousand, one hundred".