212021110100 has 18 divisors (see below), whose sum is σ = 460085809134. Its totient is φ = 84808444000.

The previous prime is 212021110079. The next prime is 212021110109. The reversal of 212021110100 is 1011120212.

212021110100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 41813706256 + 170207403844 = 204484^2 + 412562^2 .

It is a super-2 number, since 2×212021110100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212021110109) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1060105451 + ... + 1060105650.

Almost surely, 2^212021110100 is an apocalyptic number.

212021110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212021110100 is an abundant number, since it is smaller than the sum of its proper divisors (248064699034).

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

212021110100 is a wasteful number, since it uses less digits than its factorization.

212021110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120211115 (or 2120211108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 212021110100 its reverse (1011120212), we get a palindrome (213032230312).

The spelling of 212021110100 in words is "two hundred twelve billion, twenty-one million, one hundred ten thousand, one hundred".