100102112110212 has 24 divisors (see below), whose sum is σ = 241106162502912. Its totient is φ = 32291003906400.

The previous prime is 100102112110201. The next prime is 100102112110267. The reversal of 100102112110212 is 212011211201001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100102112110191 and 100102112110200.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 134545849239 + ... + 134545849982.

It is an arithmetic number, because the mean of its divisors is an integer number (10046090104288).

Almost surely, 2^{100102112110212} is an apocalyptic number.

100102112110212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100102112110212 is an abundant number, since it is smaller than the sum of its proper divisors (141004050392700).

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

100102112110212 is a wasteful number, since it uses less digits than its factorization.

100102112110212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269091699259 (or 269091699257 counting only the distinct ones).

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

Adding to 100102112110212 its reverse (212011211201001), we get a palindrome (312113323311213).

The spelling of 100102112110212 in words is "one hundred trillion, one hundred two billion, one hundred twelve million, one hundred ten thousand, two hundred twelve".