10100107 has 2 divisors, whose sum is σ = 10100108. Its totient is φ = 10100106.

The previous prime is 10100099. The next prime is 10100113. The reversal of 10100107 is 70100101.

10100107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10100107 - 2³ = 10100099 is a prime.

It is a super-2 number, since 2×10100107² = 204024322822898, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100093 and 10100102.

It is not a weakly prime, because it can be changed into another prime (10100117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050053 + 5050054.

It is an arithmetic number, because the mean of its divisors is an integer number (5050054).

Almost surely, 2^10100107 is an apocalyptic number.

10100107 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100107 is an equidigital number, since it uses as much as digits as its factorization.

10100107 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.

The square root of 10100107 is about 3178.0665505933. The cubic root of 10100107 is about 216.1599966264.

Adding to 10100107 its reverse (70100101), we get a palindrome (80200208).

The spelling of 10100107 in words is "ten million, one hundred thousand, one hundred seven".