10110000102109 has 2 divisors, whose sum is σ = 10110000102110. Its totient is φ = 10110000102108.

The previous prime is 10110000102073. The next prime is 10110000102187. The reversal of 10110000102109 is 90120100001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9345267342009 + 764732760100 = 3057003^2 + 874490^2 .

It is a cyclic number.

It is not a de Polignac number, because 10110000102109 - 2¹⁷ = 10109999971037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10110000102092 and 10110000102101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10110000102509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055000051054 + 5055000051055.

It is an arithmetic number, because the mean of its divisors is an integer number (5055000051055).

Almost surely, 2^{10110000102109} is an apocalyptic number.

It is an amenable number.

10110000102109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110000102109 is an equidigital number, since it uses as much as digits as its factorization.

10110000102109 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.

The spelling of 10110000102109 in words is "ten trillion, one hundred ten billion, one hundred two thousand, one hundred nine".