101000100100007 has 2 divisors, whose sum is σ = 101000100100008. Its totient is φ = 101000100100006.

The previous prime is 101000100100001. The next prime is 101000100100027. The reversal of 101000100100007 is 700001001000101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101000100100007 - 2³⁰ = 100999026358183 is a prime.

It is a super-2 number, since 2×101000100100007² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000100100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500050050003 + 50500050050004.

It is an arithmetic number, because the mean of its divisors is an integer number (50500050050004).

Almost surely, 2^{101000100100007} is an apocalyptic number.

101000100100007 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000100100007 is an equidigital number, since it uses as much as digits as its factorization.

101000100100007 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 11.

Adding to 101000100100007 its reverse (700001001000101), we get a palindrome (801001101100108).

The spelling of 101000100100007 in words is "one hundred one trillion, one hundred million, one hundred thousand, seven".