212111210012100 has 144 divisors (see below), whose sum is σ = 701386403063808. Its totient is φ = 48482193490560.

The previous prime is 212111210012089. The next prime is 212111210012101. The reversal of 212111210012100 is 1210012111212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212111210012100.

It is not an unprimeable number, because it can be changed into a prime (212111210012101) 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, 353228709 + ... + 353828691.

Almost surely, 2^{212111210012100} is an apocalyptic number.

212111210012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212111210012100 is an abundant number, since it is smaller than the sum of its proper divisors (489275193051708).

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

212111210012100 is a wasteful number, since it uses less digits than its factorization.

212111210012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768354 (or 768347 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212111210012100 its reverse (1210012111212), we get a palindrome (213321222123312).

The spelling of 212111210012100 in words is "two hundred twelve trillion, one hundred eleven billion, two hundred ten million, twelve thousand, one hundred".