212102004077200 has 60 divisors (see below), whose sum is σ = 509669663451120. Its totient is φ = 84825051594880.

The previous prime is 212102004077167. The next prime is 212102004077209. The reversal of 212102004077200 is 2770400201212.

212102004077200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212102004077209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47061370 + ... + 51370969.

It is an arithmetic number, because the mean of its divisors is an integer number (8494494390852).

Almost surely, 2^{212102004077200} is an apocalyptic number.

212102004077200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102004077200 is an abundant number, since it is smaller than the sum of its proper divisors (297567659373920).

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

212102004077200 is a wasteful number, since it uses less digits than its factorization.

212102004077200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98437744 (or 98437733 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

Adding to 212102004077200 its reverse (2770400201212), we get a palindrome (214872404278412).

The spelling of 212102004077200 in words is "two hundred twelve trillion, one hundred two billion, four million, seventy-seven thousand, two hundred".