212100002100100 has 36 divisors (see below), whose sum is σ = 464479545907300. Its totient is φ = 84061652204160.

The previous prime is 212100002100083. The next prime is 212100002100121. The reversal of 212100002100100 is 1001200001212.

It can be written as a sum of positive squares in 6 ways, for example, as 23380106748804 + 188719895351296 = 4835298^2 + 13737536^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9729346995 + ... + 9729368794.

Almost surely, 2^{212100002100100} is an apocalyptic number.

212100002100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100002100100 is an abundant number, since it is smaller than the sum of its proper divisors (252379543807200).

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

212100002100100 is a wasteful number, since it uses less digits than its factorization.

212100002100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19458715912 (or 19458715905 counting only the distinct ones).

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

Adding to 212100002100100 its reverse (1001200001212), we get a palindrome (213101202101312).

The spelling of 212100002100100 in words is "two hundred twelve trillion, one hundred billion, two million, one hundred thousand, one hundred".