212321300012100 has 288 divisors, whose sum is σ = 694241334460800. Its totient is φ = 55651460659200.

The previous prime is 212321300012089. The next prime is 212321300012177. The reversal of 212321300012100 is 1210003123212.

212321300012100 is a `hidden beast` number, since 21 + 2 + 321 + 300 + 0 + 1 + 21 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1166144272 + ... + 1166326328.

It is an arithmetic number, because the mean of its divisors is an integer number (2410560189100).

Almost surely, 2^{212321300012100} is an apocalyptic number.

212321300012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212321300012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347120667230400).

212321300012100 is an abundant number, since it is smaller than the sum of its proper divisors (481920034448700).

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

212321300012100 is a wasteful number, since it uses less digits than its factorization.

212321300012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189460 (or 189447 counting only the distinct ones).

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

Adding to 212321300012100 its reverse (1210003123212), we get a palindrome (213531303135312).

The spelling of 212321300012100 in words is "two hundred twelve trillion, three hundred twenty-one billion, three hundred million, twelve thousand, one hundred".