10112113101100 has 72 divisors (see below), whose sum is σ = 21961417191840. Its totient is φ = 4041504529920.

The previous prime is 10112113101029. The next prime is 10112113101163. The reversal of 10112113101100 is 110131121101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 728583961 + ... + 728597839.

It is an arithmetic number, because the mean of its divisors is an integer number (305019683220).

Almost surely, 2^{10112113101100} is an apocalyptic number.

10112113101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112113101100 is an abundant number, since it is smaller than the sum of its proper divisors (11849304090740).

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

10112113101100 is a wasteful number, since it uses less digits than its factorization.

10112113101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19387 (or 19380 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 10112113101100 its reverse (110131121101), we get a palindrome (10222244222201).

The spelling of 10112113101100 in words is "ten trillion, one hundred twelve billion, one hundred thirteen million, one hundred one thousand, one hundred".