10112011100 has 72 divisors (see below), whose sum is σ = 22408232448. Its totient is φ = 3959884800.

The previous prime is 10112011099. The next prime is 10112011127. The reversal of 10112011100 is 111021101.

It is a happy number.

10112011100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 995045 + ... + 1005155.

Almost surely, 2^10112011100 is an apocalyptic number.

10112011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11204116224).

10112011100 is an abundant number, since it is smaller than the sum of its proper divisors (12296221348).

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

10112011100 is a wasteful number, since it uses less digits than its factorization.

10112011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10335 (or 10328 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10112011100 its reverse (111021101), we get a palindrome (10223032201).

The spelling of 10112011100 in words is "ten billion, one hundred twelve million, eleven thousand, one hundred".