212012100100 has 36 divisors (see below), whose sum is σ = 460140799104. Its totient is φ = 84791099680.

The previous prime is 212012100067. The next prime is 212012100103. The reversal of 212012100100 is 1001210212.

212012100100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (212012100103) 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 11 ways as a sum of consecutive naturals, for example, 460089 + ... + 797311.

It is an arithmetic number, because the mean of its divisors is an integer number (12781688864).

Almost surely, 2^212012100100 is an apocalyptic number.

212012100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012100100 is an abundant number, since it is smaller than the sum of its proper divisors (248128699004).

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

212012100100 is a wasteful number, since it uses less digits than its factorization.

212012100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343524 (or 343517 counting only the distinct ones).

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

Adding to 212012100100 its reverse (1001210212), we get a palindrome (213013310312).

The spelling of 212012100100 in words is "two hundred twelve billion, twelve million, one hundred thousand, one hundred".