100002229121 has 2 divisors, whose sum is σ = 100002229122. Its totient is φ = 100002229120.

The previous prime is 100002229111. The next prime is 100002229157. The reversal of 100002229121 is 121922200001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99139338496 + 862890625 = 314864^2 + 29375^2 .

It is a cyclic number.

It is not a de Polignac number, because 100002229121 - 2²² = 99998034817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100002229093 and 100002229102.

It is not a weakly prime, because it can be changed into another prime (100002229111) 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, 50001114560 + 50001114561.

It is an arithmetic number, because the mean of its divisors is an integer number (50001114561).

Almost surely, 2^100002229121 is an apocalyptic number.

It is an amenable number.

100002229121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100002229121 is an equidigital number, since it uses as much as digits as its factorization.

100002229121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 100002229121 its reverse (121922200001), we get a palindrome (221924429122).

The spelling of 100002229121 in words is "one hundred billion, two million, two hundred twenty-nine thousand, one hundred twenty-one".