100200223110312 has 128 divisors (see below), whose sum is σ = 300910579401600. Its totient is φ = 30710873309184.

The previous prime is 100200223110301. The next prime is 100200223110331. The reversal of 100200223110312 is 213011322002001.

100200223110312 is a `hidden beast` number, since 1 + 0 + 0 + 20 + 0 + 22 + 311 + 0 + 312 = 666.

It is a super-2 number, since 2×100200223110312² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 68702158 + ... + 70145469.

It is an arithmetic number, because the mean of its divisors is an integer number (2350863901575).

Almost surely, 2^{100200223110312} is an apocalyptic number.

100200223110312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100200223110312 is an abundant number, since it is smaller than the sum of its proper divisors (200710356291288).

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

100200223110312 is a wasteful number, since it uses less digits than its factorization.

100200223110312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138847912 (or 138847902 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100200223110312 its reverse (213011322002001), we get a palindrome (313211545112313).

The spelling of 100200223110312 in words is "one hundred trillion, two hundred billion, two hundred twenty-three million, one hundred ten thousand, three hundred twelve".