100113100112 has 20 divisors (see below), whose sum is σ = 193999765140. Its totient is φ = 50048644608.

The previous prime is 100113100111. The next prime is 100113100117. The reversal of 100113100112 is 211001311001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 72584981056 + 27528119056 = 269416^2 + 165916^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100113100093 and 100113100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100113100111) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 388937 + ... + 592872.

It is an arithmetic number, because the mean of its divisors is an integer number (9699988257).

Almost surely, 2^100113100112 is an apocalyptic number.

It is an amenable number.

100113100112 is a deficient number, since it is larger than the sum of its proper divisors (93886665028).

100113100112 is an equidigital number, since it uses as much as digits as its factorization.

100113100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988190 (or 988184 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 100113100112 its reverse (211001311001), we get a palindrome (311114411113).

The spelling of 100113100112 in words is "one hundred billion, one hundred thirteen million, one hundred thousand, one hundred twelve".