10010102819 has 2 divisors, whose sum is σ = 10010102820. Its totient is φ = 10010102818.

The previous prime is 10010102801. The next prime is 10010102831. The reversal of 10010102819 is 91820101001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10010102819 - 2¹⁶ = 10010037283 is a prime.

It is a super-2 number, since 2×10010102819² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10010102794 and 10010102803.

It is not a weakly prime, because it can be changed into another prime (10010102119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005051409 + 5005051410.

It is an arithmetic number, because the mean of its divisors is an integer number (5005051410).

Almost surely, 2^10010102819 is an apocalyptic number.

10010102819 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010102819 is an equidigital number, since it uses as much as digits as its factorization.

10010102819 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 23.

The spelling of 10010102819 in words is "ten billion, ten million, one hundred two thousand, eight hundred nineteen".