10100101100107 has 2 divisors, whose sum is σ = 10100101100108. Its totient is φ = 10100101100106.

The previous prime is 10100101100083. The next prime is 10100101100119. The reversal of 10100101100107 is 70100110100101.

10100101100107 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 10100101100107 - 2⁴³ = 1304008077899 is a prime.

It is a super-2 number, since 2×10100101100107² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10100101100707) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050050550053 + 5050050550054.

It is an arithmetic number, because the mean of its divisors is an integer number (5050050550054).

Almost surely, 2^{10100101100107} is an apocalyptic number.

10100101100107 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100101100107 is an equidigital number, since it uses as much as digits as its factorization.

10100101100107 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 13.

Adding to 10100101100107 its reverse (70100110100101), we get a palindrome (80200211200208).

The spelling of 10100101100107 in words is "ten trillion, one hundred billion, one hundred one million, one hundred thousand, one hundred seven".