212032012100 has 36 divisors (see below), whose sum is σ = 487174732884. Its totient is φ = 79823815680.

The previous prime is 212032012081. The next prime is 212032012109. The reversal of 212032012100 is 1210230212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 13108876036 + 198923136064 = 114494^2 + 446008^2 .

It is not an unprimeable number, because it can be changed into a prime (212032012109) 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, 62360657 + ... + 62364056.

It is an arithmetic number, because the mean of its divisors is an integer number (13532631469).

Almost surely, 2^212032012100 is an apocalyptic number.

212032012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212032012100 is an abundant number, since it is smaller than the sum of its proper divisors (275142720784).

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

212032012100 is a wasteful number, since it uses less digits than its factorization.

212032012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124724744 (or 124724737 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 212032012100 its reverse (1210230212), we get a palindrome (213242242312).

The spelling of 212032012100 in words is "two hundred twelve billion, thirty-two million, twelve thousand, one hundred".