10000212002021 has 8 divisors (see below), whose sum is σ = 10103392725720. Its totient is φ = 9897033028608.

The previous prime is 10000212002003. The next prime is 10000212002083. The reversal of 10000212002021 is 12020021200001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6617812845121 + 3382399156900 = 2572511^2 + 1839130^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10000212002021 - 2²⁶ = 10000144893157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10000212001993 and 10000212002011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000212004021) 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 7 ways as a sum of consecutive naturals, for example, 13243385 + ... + 13978113.

It is an arithmetic number, because the mean of its divisors is an integer number (1262924090715).

Almost surely, 2^{10000212002021} is an apocalyptic number.

It is an amenable number.

10000212002021 is a deficient number, since it is larger than the sum of its proper divisors (103180723699).

10000212002021 is an equidigital number, since it uses as much as digits as its factorization.

10000212002021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875143.

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

Adding to 10000212002021 its reverse (12020021200001), we get a palindrome (22020233202022).

The spelling of 10000212002021 in words is "ten trillion, two hundred twelve million, two thousand, twenty-one".