10100122007 has 2 divisors, whose sum is σ = 10100122008. Its totient is φ = 10100122006.

The previous prime is 10100121989. The next prime is 10100122009. The reversal of 10100122007 is 70022100101.

It is a strong prime.

It is an emirp because it is prime and its reverse (70022100101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10100122007 - 2²² = 10095927703 is a prime.

Together with 10100122009, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100121982 and 10100122000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100122009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050061003 + 5050061004.

It is an arithmetic number, because the mean of its divisors is an integer number (5050061004).

Almost surely, 2^10100122007 is an apocalyptic number.

10100122007 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100122007 is an equidigital number, since it uses as much as digits as its factorization.

10100122007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 14.

Adding to 10100122007 its reverse (70022100101), we get a palindrome (80122222108).

The spelling of 10100122007 in words is "ten billion, one hundred million, one hundred twenty-two thousand, seven".