212000102002100 has 36 divisors (see below), whose sum is σ = 475903677259500. Its totient is φ = 81875901461760.

The previous prime is 212000102002081. The next prime is 212000102002103. The reversal of 212000102002100 is 1200201000212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 45960074536996 + 166040027465104 = 6779386^2 + 12885652^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212000102002103) 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, 36551738825 + ... + 36551744624.

Almost surely, 2^{212000102002100} is an apocalyptic number.

212000102002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212000102002100 is an abundant number, since it is smaller than the sum of its proper divisors (263903575257400).

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

212000102002100 is a wasteful number, since it uses less digits than its factorization.

212000102002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73103483492 (or 73103483485 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212000102002100 its reverse (1200201000212), we get a palindrome (213200303002312).

The spelling of 212000102002100 in words is "two hundred twelve trillion, one hundred two million, two thousand, one hundred".