100100000010113 has 2 divisors, whose sum is σ = 100100000010114. Its totient is φ = 100100000010112.

The previous prime is 100100000010107. The next prime is 100100000010133. The reversal of 100100000010113 is 311010000001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82436539414849 + 17663460595264 = 9079457^2 + 4202792^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100000010113 - 2¹⁴ = 100099999993729 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100100000010113.

It is not a weakly prime, because it can be changed into another prime (100100000010133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050000005056 + 50050000005057.

It is an arithmetic number, because the mean of its divisors is an integer number (50050000005057).

Almost surely, 2^{100100000010113} is an apocalyptic number.

It is an amenable number.

100100000010113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100000010113 is an equidigital number, since it uses as much as digits as its factorization.

100100000010113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 100100000010113 its reverse (311010000001001), we get a palindrome (411110000011114).

The spelling of 100100000010113 in words is "one hundred trillion, one hundred billion, ten thousand, one hundred thirteen".