10100111100019 has 2 divisors, whose sum is σ = 10100111100020. Its totient is φ = 10100111100018.

The previous prime is 10100111099989. The next prime is 10100111100029. The reversal of 10100111100019 is 91000111100101.

10100111100019 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10100111100019 - 2¹⁵ = 10100111067251 is a prime.

It is a super-2 number, since 2×10100111100019² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10100111099975 and 10100111100011.

It is not a weakly prime, because it can be changed into another prime (10100111100029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050055550009 + 5050055550010.

It is an arithmetic number, because the mean of its divisors is an integer number (5050055550010).

Almost surely, 2^{10100111100019} is an apocalyptic number.

10100111100019 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100111100019 is an equidigital number, since it uses as much as digits as its factorization.

10100111100019 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 10100111100019 in words is "ten trillion, one hundred billion, one hundred eleven million, one hundred thousand, nineteen".