10100103007 has 2 divisors, whose sum is σ = 10100103008. Its totient is φ = 10100103006.

The previous prime is 10100102989. The next prime is 10100103029. The reversal of 10100103007 is 70030100101.

10100103007 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10100103007 - 2³¹ = 7952619359 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100103037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050051503 + 5050051504.

It is an arithmetic number, because the mean of its divisors is an integer number (5050051504).

Almost surely, 2^10100103007 is an apocalyptic number.

10100103007 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100103007 is an equidigital number, since it uses as much as digits as its factorization.

10100103007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21, while the sum is 13.

Adding to 10100103007 its reverse (70030100101), we get a palindrome (80130203108).

The spelling of 10100103007 in words is "ten billion, one hundred million, one hundred three thousand, seven".