100000100111113 has 2 divisors, whose sum is σ = 100000100111114. Its totient is φ = 100000100111112.

The previous prime is 100000100110957. The next prime is 100000100111129. The reversal of 100000100111113 is 311111001000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97711406168464 + 2288693942649 = 9884908^2 + 1512843^2 .

It is a cyclic number.

It is not a de Polignac number, because 100000100111113 - 2⁹ = 100000100110601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100000100111113.

It is not a weakly prime, because it can be changed into another prime (100000100121113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000050055556 + 50000050055557.

It is an arithmetic number, because the mean of its divisors is an integer number (50000050055557).

Almost surely, 2^{100000100111113} is an apocalyptic number.

It is an amenable number.

100000100111113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000100111113 is an equidigital number, since it uses as much as digits as its factorization.

100000100111113 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 10.

Adding to 100000100111113 its reverse (311111001000001), we get a palindrome (411111101111114).

The spelling of 100000100111113 in words is "one hundred trillion, one hundred million, one hundred eleven thousand, one hundred thirteen".