101128007 has 2 divisors, whose sum is σ = 101128008. Its totient is φ = 101128006.

The previous prime is 101127977. The next prime is 101128037. The reversal of 101128007 is 700821101.

It is a balanced prime because it is at equal distance from previous prime (101127977) and next prime (101128037).

It is a cyclic number.

It is not a de Polignac number, because 101128007 - 2⁸ = 101127751 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101128007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101128037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50564003 + 50564004.

It is an arithmetic number, because the mean of its divisors is an integer number (50564004).

Almost surely, 2^101128007 is an apocalyptic number.

101128007 is a deficient number, since it is larger than the sum of its proper divisors (1).

101128007 is an equidigital number, since it uses as much as digits as its factorization.

101128007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

The square root of 101128007 is about 10056.2421907987. The cubic root of 101128007 is about 465.8976102355.

Adding to 101128007 its reverse (700821101), we get a palindrome (801949108).

The spelling of 101128007 in words is "one hundred one million, one hundred twenty-eight thousand, seven".