100111120002112 has 14 divisors (see below), whose sum is σ = 198658003754318. Its totient is φ = 50055560001024.

The previous prime is 100111120002097. The next prime is 100111120002137. The reversal of 100111120002112 is 211200021111001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 50906170140736 + 49204949861376 = 7134856^2 + 7014624^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100111120002092 and 100111120002101.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 782118124953 + ... + 782118125080.

Almost surely, 2^{100111120002112} is an apocalyptic number.

It is an amenable number.

100111120002112 is a deficient number, since it is larger than the sum of its proper divisors (98546883752206).

100111120002112 is an equidigital number, since it uses as much as digits as its factorization.

100111120002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564236250045 (or 1564236250035 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100111120002112 its reverse (211200021111001), we get a palindrome (311311141113113).

The spelling of 100111120002112 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty million, two thousand, one hundred twelve".