10100100007 has 2 divisors, whose sum is σ = 10100100008. Its totient is φ = 10100100006.

The previous prime is 10100099981. The next prime is 10100100029. The reversal of 10100100007 is 70000100101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10100100007 - 2¹⁵ = 10100067239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100099966 and 10100100002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100100407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050050003 + 5050050004.

It is an arithmetic number, because the mean of its divisors is an integer number (5050050004).

Almost surely, 2^10100100007 is an apocalyptic number.

10100100007 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100100007 is an equidigital number, since it uses as much as digits as its factorization.

10100100007 is an evil number, because the sum of its binary digits is even.

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

Adding to 10100100007 its reverse (70000100101), we get a palindrome (80100200108).

The spelling of 10100100007 in words is "ten billion, one hundred million, one hundred thousand, seven".