100312212103007 has 2 divisors, whose sum is σ = 100312212103008. Its totient is φ = 100312212103006.

The previous prime is 100312212102959. The next prime is 100312212103027. The reversal of 100312212103007 is 700301212213001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100312212103007 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100312212103027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50156106051503 + 50156106051504.

It is an arithmetic number, because the mean of its divisors is an integer number (50156106051504).

Almost surely, 2^{100312212103007} is an apocalyptic number.

100312212103007 is a deficient number, since it is larger than the sum of its proper divisors (1).

100312212103007 is an equidigital number, since it uses as much as digits as its factorization.

100312212103007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 23.

Adding to 100312212103007 its reverse (700301212213001), we get a palindrome (800613424316008).

The spelling of 100312212103007 in words is "one hundred trillion, three hundred twelve billion, two hundred twelve million, one hundred three thousand, seven".