212100012102000 has 240 divisors, whose sum is σ = 751626352897056. Its totient is φ = 51418184576000.

The previous prime is 212100012101983. The next prime is 212100012102001. The reversal of 212100012102000 is 201210001212.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212100012102001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145348389 + ... + 146800388.

Almost surely, 2^{212100012102000} is an apocalyptic number.

212100012102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100012102000 is an abundant number, since it is smaller than the sum of its proper divisors (539526340795056).

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

212100012102000 is a wasteful number, since it uses less digits than its factorization.

212100012102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292148825 (or 292148798 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212100012102000 its reverse (201210001212), we get a palindrome (212301222103212).

The spelling of 212100012102000 in words is "two hundred twelve trillion, one hundred billion, twelve million, one hundred two thousand".