212000112100 has 54 divisors (see below), whose sum is σ = 535148866770. Its totient is φ = 72685751040.

The previous prime is 212000112091. The next prime is 212000112109. The reversal of 212000112100 is 1211000212.

It is an interprime number because it is at equal distance from previous prime (212000112091) and next prime (212000112109).

It can be written as a sum of positive squares in 3 ways, for example, as 994014784 + 211006097316 = 31528^2 + 459354^2 .

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

It is not an unprimeable number, because it can be changed into a prime (212000112109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21627765 + ... + 21637564.

Almost surely, 2^212000112100 is an apocalyptic number.

212000112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212000112100 is an abundant number, since it is smaller than the sum of its proper divisors (323148754670).

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

212000112100 is a wasteful number, since it uses less digits than its factorization.

212000112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43265357 (or 43265343 counting only the distinct ones).

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

Adding to 212000112100 its reverse (1211000212), we get a palindrome (213211112312).

It can be divided in two parts, 212000112 and 100, that added together give a palindrome (212000212).

The spelling of 212000112100 in words is "two hundred twelve billion, one hundred twelve thousand, one hundred".