100312100102003 has 2 divisors, whose sum is σ = 100312100102004. Its totient is φ = 100312100102002.

The previous prime is 100312100101999. The next prime is 100312100102029. The reversal of 100312100102003 is 300201001213001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100312100102003 - 2² = 100312100101999 is a prime.

It is a super-2 number, since 2×100312100102003² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100312100102033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50156050051001 + 50156050051002.

It is an arithmetic number, because the mean of its divisors is an integer number (50156050051002).

Almost surely, 2^{100312100102003} is an apocalyptic number.

100312100102003 is a deficient number, since it is larger than the sum of its proper divisors (1).

100312100102003 is an equidigital number, since it uses as much as digits as its factorization.

100312100102003 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100312100102003 its reverse (300201001213001), we get a palindrome (400513101315004).

The spelling of 100312100102003 in words is "one hundred trillion, three hundred twelve billion, one hundred million, one hundred two thousand, three".