100000101011113 has 2 divisors, whose sum is σ = 100000101011114. Its totient is φ = 100000101011112.

The previous prime is 100000101011081. The next prime is 100000101011117. The reversal of 100000101011113 is 311110101000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97221335367744 + 2778765643369 = 9860088^2 + 1666963^2 .

It is a cyclic number.

It is not a de Polignac number, because 100000101011113 - 2⁵ = 100000101011081 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100000101011113.

It is not a weakly prime, because it can be changed into another prime (100000101011117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000050505556 + 50000050505557.

It is an arithmetic number, because the mean of its divisors is an integer number (50000050505557).

Almost surely, 2^{100000101011113} is an apocalyptic number.

It is an amenable number.

100000101011113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000101011113 is an equidigital number, since it uses as much as digits as its factorization.

100000101011113 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 100000101011113 its reverse (311110101000001), we get a palindrome (411110202011114).

The spelling of 100000101011113 in words is "one hundred trillion, one hundred one million, eleven thousand, one hundred thirteen".