10212112112200 has 48 divisors (see below), whose sum is σ = 23744790704880. Its totient is φ = 4084564407360.

The previous prime is 10212112112177. The next prime is 10212112112221. The reversal of 10212112112200 is 221121121201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1179979 + ... + 4670821.

It is an arithmetic number, because the mean of its divisors is an integer number (494683139685).

Almost surely, 2^{10212112112200} is an apocalyptic number.

10212112112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212112112200 is an abundant number, since it is smaller than the sum of its proper divisors (13532678592680).

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

10212112112200 is a wasteful number, since it uses less digits than its factorization.

10212112112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505486 (or 3505477 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10212112112200 its reverse (221121121201), we get a palindrome (10433233233401).

Subtracting from 10212112112200 its reverse (221121121201), we obtain a palindrome (9990990990999).

The spelling of 10212112112200 in words is "ten trillion, two hundred twelve billion, one hundred twelve million, one hundred twelve thousand, two hundred".