212110002100 has 18 divisors (see below), whose sum is σ = 460278704774. Its totient is φ = 84844000800.

The previous prime is 212110002077. The next prime is 212110002107. The reversal of 212110002100 is 1200011212.

It can be written as a sum of positive squares in 3 ways, for example, as 3893011236 + 208216990864 = 62394^2 + 456308^2 .

It is a super-3 number, since 3×212110002100³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212110002107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1060549911 + ... + 1060550110.

Almost surely, 2^212110002100 is an apocalyptic number.

212110002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212110002100 is an abundant number, since it is smaller than the sum of its proper divisors (248168702674).

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

212110002100 is a wasteful number, since it uses less digits than its factorization.

212110002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121100035 (or 2121100028 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 212110002100 its reverse (1200011212), we get a palindrome (213310013312).

The spelling of 212110002100 in words is "two hundred twelve billion, one hundred ten million, two thousand, one hundred".