110100110002819 has 2 divisors, whose sum is σ = 110100110002820. Its totient is φ = 110100110002818.

The previous prime is 110100110002807. The next prime is 110100110002829. The reversal of 110100110002819 is 918200011001011.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 110100110002819 - 2¹⁹ = 110100109478531 is a prime.

It is a super-2 number, since 2×110100110002819² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110100110002793 and 110100110002802.

It is not a weakly prime, because it can be changed into another prime (110100110002829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050055001409 + 55050055001410.

It is an arithmetic number, because the mean of its divisors is an integer number (55050055001410).

Almost surely, 2^{110100110002819} is an apocalyptic number.

110100110002819 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100110002819 is an equidigital number, since it uses as much as digits as its factorization.

110100110002819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 25.

The spelling of 110100110002819 in words is "one hundred ten trillion, one hundred billion, one hundred ten million, two thousand, eight hundred nineteen".