100100000010107 has 2 divisors, whose sum is σ = 100100000010108. Its totient is φ = 100100000010106.

The previous prime is 100100000010047. The next prime is 100100000010113. The reversal of 100100000010107 is 701010000001001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100100000010107 - 2⁸ = 100100000009851 is a prime.

It is not a weakly prime, because it can be changed into another prime (100100000010007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050000005053 + 50050000005054.

It is an arithmetic number, because the mean of its divisors is an integer number (50050000005054).

Almost surely, 2^{100100000010107} is an apocalyptic number.

100100000010107 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100000010107 is an equidigital number, since it uses as much as digits as its factorization.

100100000010107 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 100100000010107 its reverse (701010000001001), we get a palindrome (801110000011108).

The spelling of 100100000010107 in words is "one hundred trillion, one hundred billion, ten thousand, one hundred seven".