100100100111113 has 2 divisors, whose sum is σ = 100100100111114. Its totient is φ = 100100100111112.

The previous prime is 100100100111019. The next prime is 100100100111127. The reversal of 100100100111113 is 311111001001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93019620830224 + 7080479280889 = 9644668^2 + 2660917^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100100111113 - 2¹⁰ = 100100100110089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100100100111094 and 100100100111103.

It is not a weakly prime, because it can be changed into another prime (100100100111163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050050055556 + 50050050055557.

It is an arithmetic number, because the mean of its divisors is an integer number (50050050055557).

Almost surely, 2^{100100100111113} is an apocalyptic number.

It is an amenable number.

100100100111113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100100111113 is an equidigital number, since it uses as much as digits as its factorization.

100100100111113 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 11.

Adding to 100100100111113 its reverse (311111001001001), we get a palindrome (411211101112114).

The spelling of 100100100111113 in words is "one hundred trillion, one hundred billion, one hundred million, one hundred eleven thousand, one hundred thirteen".