100362240029 has 2 divisors, whose sum is σ = 100362240030. Its totient is φ = 100362240028.

The previous prime is 100362239981. The next prime is 100362240031. The reversal of 100362240029 is 920042263001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84507652804 + 15854587225 = 290702^2 + 125915^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100362240029 is a prime.

Together with 100362240031, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100362239983 and 100362240010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100362240049) 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, 50181120014 + 50181120015.

It is an arithmetic number, because the mean of its divisors is an integer number (50181120015).

Almost surely, 2^100362240029 is an apocalyptic number.

It is an amenable number.

100362240029 is a deficient number, since it is larger than the sum of its proper divisors (1).

100362240029 is an equidigital number, since it uses as much as digits as its factorization.

100362240029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 29.

Subtracting from 100362240029 its sum of digits (29), we obtain a square (100362240000 = 316800²).

The spelling of 100362240029 in words is "one hundred billion, three hundred sixty-two million, two hundred forty thousand, twenty-nine".