100414033009 has 2 divisors, whose sum is σ = 100414033010. Its totient is φ = 100414033008.

The previous prime is 100414033007. The next prime is 100414033051. The reversal of 100414033009 is 900330414001.

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., 95545901025 + 4868131984 = 309105^2 + 69772^2 .

It is a cyclic number.

It is not a de Polignac number, because 100414033009 - 2¹ = 100414033007 is a prime.

Together with 100414033007, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100414033007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50207016504 + 50207016505.

It is an arithmetic number, because the mean of its divisors is an integer number (50207016505).

Almost surely, 2^100414033009 is an apocalyptic number.

It is an amenable number.

100414033009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100414033009 is an equidigital number, since it uses as much as digits as its factorization.

100414033009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 25.

The spelling of 100414033009 in words is "one hundred billion, four hundred fourteen million, thirty-three thousand, nine".