10212112011200 has 84 divisors (see below), whose sum is σ = 27412557993672. Its totient is φ = 3713495270400.

The previous prime is 10212112011149. The next prime is 10212112011223. The reversal of 10212112011200 is 211021121201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 290099219 + ... + 290134418.

Almost surely, 2^{10212112011200} is an apocalyptic number.

10212112011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212112011200 is an abundant number, since it is smaller than the sum of its proper divisors (17200445982472).

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

10212112011200 is a wasteful number, since it uses less digits than its factorization.

10212112011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580233670 (or 580233655 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10212112011200 its reverse (211021121201), we get a palindrome (10423133132401).

The spelling of 10212112011200 in words is "ten trillion, two hundred twelve billion, one hundred twelve million, eleven thousand, two hundred".