100144413251 has 2 divisors, whose sum is σ = 100144413252. Its totient is φ = 100144413250.

The previous prime is 100144413209. The next prime is 100144413269. The reversal of 100144413251 is 152314441001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100144413251 - 2¹⁴ = 100144396867 is a prime.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100144413251.

It is not a weakly prime, because it can be changed into another prime (100144413751) 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, 50072206625 + 50072206626.

It is an arithmetic number, because the mean of its divisors is an integer number (50072206626).

Almost surely, 2^100144413251 is an apocalyptic number.

100144413251 is a deficient number, since it is larger than the sum of its proper divisors (1).

100144413251 is an equidigital number, since it uses as much as digits as its factorization.

100144413251 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 100144413251 its reverse (152314441001), we get a palindrome (252458854252).

The spelling of 100144413251 in words is "one hundred billion, one hundred forty-four million, four hundred thirteen thousand, two hundred fifty-one".