212121000100 has 36 divisors (see below), whose sum is σ = 465848402544. Its totient is φ = 83826126880.

The previous prime is 212121000067. The next prime is 212121000103. The reversal of 212121000100 is 1000121212.

It is a super-3 number, since 3×212121000100³ (a number of 35 digits) contains 333 as substring.

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 (212121000103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12770074 + ... + 12786673.

It is an arithmetic number, because the mean of its divisors is an integer number (12940233404).

Almost surely, 2^212121000100 is an apocalyptic number.

212121000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212121000100 is an abundant number, since it is smaller than the sum of its proper divisors (253727402444).

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

212121000100 is a wasteful number, since it uses less digits than its factorization.

212121000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25556844 (or 25556837 counting only the distinct ones).

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

Adding to 212121000100 its reverse (1000121212), we get a palindrome (213121121312).

The spelling of 212121000100 in words is "two hundred twelve billion, one hundred twenty-one million, one hundred", and thus it is an aban number.