101001010009819 has 2 divisors, whose sum is σ = 101001010009820. Its totient is φ = 101001010009818.

The previous prime is 101001010009817. The next prime is 101001010009873. The reversal of 101001010009819 is 918900010100101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101001010009819 - 2¹ = 101001010009817 is a prime.

It is a super-3 number, since 3×101001010009819³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 101001010009817, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101001010009817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500505004909 + 50500505004910.

It is an arithmetic number, because the mean of its divisors is an integer number (50500505004910).

Almost surely, 2^{101001010009819} is an apocalyptic number.

101001010009819 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001010009819 is an equidigital number, since it uses as much as digits as its factorization.

101001010009819 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 31.

The spelling of 101001010009819 in words is "one hundred one trillion, one billion, ten million, nine thousand, eight hundred nineteen".