212012121010100 has 18 divisors (see below), whose sum is σ = 460066302592134. Its totient is φ = 84804848404000.

The previous prime is 212012121010099. The next prime is 212012121010139. The reversal of 212012121010100 is 1010121210212.

212012121010100 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 2814428995876 + 209197692014224 = 1677626^2 + 14463668^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1060060604951 + ... + 1060060605150.

Almost surely, 2^{212012121010100} is an apocalyptic number.

212012121010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012121010100 is an abundant number, since it is smaller than the sum of its proper divisors (248054181582034).

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

212012121010100 is a wasteful number, since it uses less digits than its factorization.

212012121010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120121210115 (or 2120121210108 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212012121010100 its reverse (1010121210212), we get a palindrome (213022242220312).

The spelling of 212012121010100 in words is "two hundred twelve trillion, twelve billion, one hundred twenty-one million, ten thousand, one hundred".