101000001001019 has 2 divisors, whose sum is σ = 101000001001020. Its totient is φ = 101000001001018.

The previous prime is 101000001000979. The next prime is 101000001001033. The reversal of 101000001001019 is 910100100000101.

It is a happy number.

It is an a-pointer prime, because the next prime (101000001001033) can be obtained adding 101000001001019 to its sum of digits (14).

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101000001001019 is a prime.

It is a super-2 number, since 2×101000001001019² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101000001000994 and 101000001001012.

It is not a weakly prime, because it can be changed into another prime (101000001301019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500000500509 + 50500000500510.

It is an arithmetic number, because the mean of its divisors is an integer number (50500000500510).

Almost surely, 2^{101000001001019} is an apocalyptic number.

101000001001019 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000001001019 is an equidigital number, since it uses as much as digits as its factorization.

101000001001019 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 101000001001019 in words is "one hundred one trillion, one million, one thousand, nineteen".