100111011203113 has 2 divisors, whose sum is σ = 100111011203114. Its totient is φ = 100111011203112.

The previous prime is 100111011203033. The next prime is 100111011203173. The reversal of 100111011203113 is 311302110111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97042358616064 + 3068652587049 = 9851008^2 + 1751757^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111011203113 - 2²⁹ = 100110474332201 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111011203173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055505601556 + 50055505601557.

It is an arithmetic number, because the mean of its divisors is an integer number (50055505601557).

Almost surely, 2^{100111011203113} is an apocalyptic number.

It is an amenable number.

100111011203113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111011203113 is an equidigital number, since it uses as much as digits as its factorization.

100111011203113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 100111011203113 its reverse (311302110111001), we get a palindrome (411413121314114).

The spelling of 100111011203113 in words is "one hundred trillion, one hundred eleven billion, eleven million, two hundred three thousand, one hundred thirteen".