212000100021 has 24 divisors (see below), whose sum is σ = 314523911520. Its totient is φ = 137502531936.

The previous prime is 212000100017. The next prime is 212000100031. The reversal of 212000100021 is 120001000212.

212000100021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212000100021 - 2² = 212000100017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 212000099976 and 212000100012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212000100031) 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 23 ways as a sum of consecutive naturals, for example, 7117666 + ... + 7147388.

It is an arithmetic number, because the mean of its divisors is an integer number (13105162980).

Almost surely, 2^212000100021 is an apocalyptic number.

It is an amenable number.

212000100021 is a deficient number, since it is larger than the sum of its proper divisors (102523811499).

212000100021 is a wasteful number, since it uses less digits than its factorization.

212000100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51185 (or 51182 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 212000100021 its reverse (120001000212), we get a palindrome (332001100233).

It can be divided in two parts, 2 and 12000100021, that multiplied together give a palindrome (24000200042).

The spelling of 212000100021 in words is "two hundred twelve billion, one hundred thousand, twenty-one".