10012100112 has 60 divisors (see below), whose sum is σ = 32022831360. Its totient is φ = 2860599744.

The previous prime is 10012100093. The next prime is 10012100117. The reversal of 10012100112 is 21100121001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10012100094 and 10012100103.

It is not an unprimeable number, because it can be changed into a prime (10012100117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4965312 + ... + 4967327.

It is an arithmetic number, because the mean of its divisors is an integer number (533713856).

Almost surely, 2^10012100112 is an apocalyptic number.

10012100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10012100112 is an abundant number, since it is smaller than the sum of its proper divisors (22010731248).

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

10012100112 is a wasteful number, since it uses less digits than its factorization.

10012100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9932660 (or 9932651 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10012100112 its reverse (21100121001), we get a palindrome (31112221113).

The spelling of 10012100112 in words is "ten billion, twelve million, one hundred thousand, one hundred twelve".