100111022210112 has 112 divisors (see below), whose sum is σ = 272447484437952. Its totient is φ = 32419317934080.

The previous prime is 100111022210077. The next prime is 100111022210117. The reversal of 100111022210112 is 211012220111001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100111022210091 and 100111022210100.

It is not an unprimeable number, because it can be changed into a prime (100111022210117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5964018 + ... + 15355505.

Almost surely, 2^{100111022210112} is an apocalyptic number.

100111022210112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100111022210112 is an abundant number, since it is smaller than the sum of its proper divisors (172336462227840).

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

100111022210112 is a wasteful number, since it uses less digits than its factorization.

100111022210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21320236 (or 21320226 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100111022210112 its reverse (211012220111001), we get a palindrome (311123242321113).

The spelling of 100111022210112 in words is "one hundred trillion, one hundred eleven billion, twenty-two million, two hundred ten thousand, one hundred twelve".