100212102102121 has 2 divisors, whose sum is σ = 100212102102122. Its totient is φ = 100212102102120.

The previous prime is 100212102102071. The next prime is 100212102102137. The reversal of 100212102102121 is 121201201212001.

It is an a-pointer prime, because the next prime (100212102102137) can be obtained adding 100212102102121 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99417570538896 + 794531563225 = 9970836^2 + 891365^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100212102102121 is a prime.

It is a super-2 number, since 2×100212102102121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100212102102095 and 100212102102104.

It is not a weakly prime, because it can be changed into another prime (100212102102181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106051051060 + 50106051051061.

It is an arithmetic number, because the mean of its divisors is an integer number (50106051051061).

Almost surely, 2^{100212102102121} is an apocalyptic number.

It is an amenable number.

100212102102121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212102102121 is an equidigital number, since it uses as much as digits as its factorization.

100212102102121 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 16.

Adding to 100212102102121 its reverse (121201201212001), we get a palindrome (221413303314122).

The spelling of 100212102102121 in words is "one hundred trillion, two hundred twelve billion, one hundred two million, one hundred two thousand, one hundred twenty-one".