10112113000 has 128 divisors (see below), whose sum is σ = 25954007040. Its totient is φ = 3657120000.

The previous prime is 10112112973. The next prime is 10112113013. The reversal of 10112113000 is 31121101.

10112113000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10112113000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 31 ways as a sum of consecutive naturals, for example, 2098594 + ... + 2103406.

It is an arithmetic number, because the mean of its divisors is an integer number (202765680).

Almost surely, 2^10112113000 is an apocalyptic number.

10112113000 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 10112113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12977003520).

10112113000 is an abundant number, since it is smaller than the sum of its proper divisors (15841894040).

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

10112113000 is a wasteful number, since it uses less digits than its factorization.

10112113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5036 (or 5022 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10112113000 its reverse (31121101), we get a palindrome (10143234101).

The spelling of 10112113000 in words is "ten billion, one hundred twelve million, one hundred thirteen thousand".