100414030333289 has 2 divisors, whose sum is σ = 100414030333290. Its totient is φ = 100414030333288.

The previous prime is 100414030333261. The next prime is 100414030333303. The reversal of 100414030333289 is 982333030414001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73195553593600 + 27218476739689 = 8555440^2 + 5217133^2 .

It is a cyclic number.

It is not a de Polignac number, because 100414030333289 - 2²⁰ = 100414029284713 is a prime.

It is not a weakly prime, because it can be changed into another prime (100414030333189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50207015166644 + 50207015166645.

It is an arithmetic number, because the mean of its divisors is an integer number (50207015166645).

Almost surely, 2^{100414030333289} is an apocalyptic number.

It is an amenable number.

100414030333289 is a deficient number, since it is larger than the sum of its proper divisors (1).

100414030333289 is an equidigital number, since it uses as much as digits as its factorization.

100414030333289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 186624, while the sum is 41.

The spelling of 100414030333289 in words is "one hundred trillion, four hundred fourteen billion, thirty million, three hundred thirty-three thousand, two hundred eighty-nine".