2101001101019 has 2 divisors, whose sum is σ = 2101001101020. Its totient is φ = 2101001101018.

The previous prime is 2101001100937. The next prime is 2101001101021. The reversal of 2101001101019 is 9101011001012.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2101001101019 - 2²⁴ = 2100984323803 is a prime.

It is a super-2 number, since 2×2101001101019² (a number of 25 digits) contains 22 as substring.

Together with 2101001101021, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2101001100988 and 2101001101006.

It is not a weakly prime, because it can be changed into another prime (2101001101039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050500550509 + 1050500550510.

It is an arithmetic number, because the mean of its divisors is an integer number (1050500550510).

Almost surely, 2^{2101001101019} is an apocalyptic number.

2101001101019 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101001101019 is an equidigital number, since it uses as much as digits as its factorization.

2101001101019 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 17.

The spelling of 2101001101019 in words is "two trillion, one hundred one billion, one million, one hundred one thousand, nineteen".