212021002100 has 36 divisors (see below), whose sum is σ = 460968769548. Its totient is φ = 84645600000.

The previous prime is 212021002079. The next prime is 212021002121. The reversal of 212021002100 is 1200120212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212021002079) and next prime (212021002121).

It can be written as a sum of positive squares in 6 ways, for example, as 66116865424 + 145904136676 = 257132^2 + 381974^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1982651 + ... + 2086850.

It is an arithmetic number, because the mean of its divisors is an integer number (12804688043).

Almost surely, 2^212021002100 is an apocalyptic number.

212021002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212021002100 is an abundant number, since it is smaller than the sum of its proper divisors (248947767448).

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

212021002100 is a wasteful number, since it uses less digits than its factorization.

212021002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4070036 (or 4070029 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212021002100 its reverse (1200120212), we get a palindrome (213221122312).

The spelling of 212021002100 in words is "two hundred twelve billion, twenty-one million, two thousand, one hundred".