101001009999919 has 2 divisors, whose sum is σ = 101001009999920. Its totient is φ = 101001009999918.

The previous prime is 101001009999863. The next prime is 101001009999983. The reversal of 101001009999919 is 919999900100101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101001009999919 - 2³⁵ = 100966650261551 is a prime.

It is a super-2 number, since 2×101001009999919² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001009996919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500504999959 + 50500504999960.

It is an arithmetic number, because the mean of its divisors is an integer number (50500504999960).

Almost surely, 2^{101001009999919} is an apocalyptic number.

101001009999919 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001009999919 is an equidigital number, since it uses as much as digits as its factorization.

101001009999919 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 531441, while the sum is 58.

The spelling of 101001009999919 in words is "one hundred one trillion, one billion, nine million, nine hundred ninety-nine thousand, nine hundred nineteen".