100214021329 has 2 divisors, whose sum is σ = 100214021330. Its totient is φ = 100214021328.

The previous prime is 100214021309. The next prime is 100214021351. The reversal of 100214021329 is 923120412001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96435091600 + 3778929729 = 310540^2 + 61473^2 .

It is a cyclic number.

It is not a de Polignac number, because 100214021329 - 2²⁷ = 100079803601 is a prime.

It is not a weakly prime, because it can be changed into another prime (100214021309) 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, 50107010664 + 50107010665.

It is an arithmetic number, because the mean of its divisors is an integer number (50107010665).

Almost surely, 2^100214021329 is an apocalyptic number.

It is an amenable number.

100214021329 is a deficient number, since it is larger than the sum of its proper divisors (1).

100214021329 is an equidigital number, since it uses as much as digits as its factorization.

100214021329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 100214021329 in words is "one hundred billion, two hundred fourteen million, twenty-one thousand, three hundred twenty-nine".