1001100092819 has 2 divisors, whose sum is σ = 1001100092820. Its totient is φ = 1001100092818.

The previous prime is 1001100092683. The next prime is 1001100092821. The reversal of 1001100092819 is 9182900011001.

1001100092819 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001100092819 is a prime.

It is a super-2 number, since 2×1001100092819² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 1001100092821, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1001100092899) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500550046409 + 500550046410.

It is an arithmetic number, because the mean of its divisors is an integer number (500550046410).

Almost surely, 2^{1001100092819} is an apocalyptic number.

1001100092819 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001100092819 is an equidigital number, since it uses as much as digits as its factorization.

1001100092819 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 32.

The spelling of 1001100092819 in words is "one trillion, one billion, one hundred million, ninety-two thousand, eight hundred nineteen".