100212000210221 has 2 divisors, whose sum is σ = 100212000210222. Its totient is φ = 100212000210220.

The previous prime is 100212000210173. The next prime is 100212000210353. The reversal of 100212000210221 is 122012000212001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59003445076900 + 41208555133321 = 7681370^2 + 6419389^2 .

It is a cyclic number.

It is not a de Polignac number, because 100212000210221 - 2¹⁰ = 100212000209197 is a prime.

It is a super-2 number, since 2×100212000210221² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100212000210196 and 100212000210205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100212005210221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106000105110 + 50106000105111.

It is an arithmetic number, because the mean of its divisors is an integer number (50106000105111).

Almost surely, 2^{100212000210221} is an apocalyptic number.

It is an amenable number.

100212000210221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212000210221 is an equidigital number, since it uses as much as digits as its factorization.

100212000210221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100212000210221 its reverse (122012000212001), we get a palindrome (222224000422222).

The spelling of 100212000210221 in words is "one hundred trillion, two hundred twelve billion, two hundred ten thousand, two hundred twenty-one".