10000101000107 has 2 divisors, whose sum is σ = 10000101000108. Its totient is φ = 10000101000106.

The previous prime is 10000101000079. The next prime is 10000101000119. The reversal of 10000101000107 is 70100010100001.

10000101000107 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 10000101000107 - 2³² = 9995806032811 is a prime.

It is a super-2 number, since 2×10000101000107² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10000101000007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000050500053 + 5000050500054.

It is an arithmetic number, because the mean of its divisors is an integer number (5000050500054).

Almost surely, 2^{10000101000107} is an apocalyptic number.

10000101000107 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000101000107 is an equidigital number, since it uses as much as digits as its factorization.

10000101000107 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 11.

Adding to 10000101000107 its reverse (70100010100001), we get a palindrome (80100111100108).

The spelling of 10000101000107 in words is "ten trillion, one hundred one million, one hundred seven", and thus it is an aban number.