100010221121 has 2 divisors, whose sum is σ = 100010221122. Its totient is φ = 100010221120.

The previous prime is 100010221099. The next prime is 100010221123. The reversal of 100010221121 is 121122010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79389261121 + 20620960000 = 281761^2 + 143600^2 .

It is a cyclic number.

It is not a de Polignac number, because 100010221121 - 2¹⁸ = 100009958977 is a prime.

Together with 100010221123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100010221123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005110560 + 50005110561.

It is an arithmetic number, because the mean of its divisors is an integer number (50005110561).

Almost surely, 2^100010221121 is an apocalyptic number.

It is an amenable number.

100010221121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010221121 is an equidigital number, since it uses as much as digits as its factorization.

100010221121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100010221121 its reverse (121122010001), we get a palindrome (221132231122).

The spelling of 100010221121 in words is "one hundred billion, ten million, two hundred twenty-one thousand, one hundred twenty-one".