101000100007 has 2 divisors, whose sum is σ = 101000100008. Its totient is φ = 101000100006.

The previous prime is 101000099983. The next prime is 101000100013. The reversal of 101000100007 is 700001000101.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101000100007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101000099966 and 101000100002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000100037) 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, 50500050003 + 50500050004.

It is an arithmetic number, because the mean of its divisors is an integer number (50500050004).

Almost surely, 2^101000100007 is an apocalyptic number.

101000100007 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000100007 is an equidigital number, since it uses as much as digits as its factorization.

101000100007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 10.

Adding to 101000100007 its reverse (700001000101), we get a palindrome (801001100108).

The spelling of 101000100007 in words is "one hundred one billion, one hundred thousand, seven".