100223121601 has 2 divisors, whose sum is σ = 100223121602. Its totient is φ = 100223121600.

The previous prime is 100223121571. The next prime is 100223121659. The reversal of 100223121601 is 106121322001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97581264400 + 2641857201 = 312380^2 + 51399^2 .

It is a cyclic number.

It is not a de Polignac number, because 100223121601 - 2⁷ = 100223121473 is a prime.

It is not a weakly prime, because it can be changed into another prime (100223121671) 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 as a sum of consecutive naturals, namely, 50111560800 + 50111560801.

It is an arithmetic number, because the mean of its divisors is an integer number (50111560801).

Almost surely, 2^100223121601 is an apocalyptic number.

It is an amenable number.

100223121601 is a deficient number, since it is larger than the sum of its proper divisors (1).

100223121601 is an equidigital number, since it uses as much as digits as its factorization.

100223121601 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 19.

Adding to 100223121601 its reverse (106121322001), we get a palindrome (206344443602).

The spelling of 100223121601 in words is "one hundred billion, two hundred twenty-three million, one hundred twenty-one thousand, six hundred one".