101001011009999 has 2 divisors, whose sum is σ = 101001011010000. Its totient is φ = 101001011009998.

The previous prime is 101001011009981. The next prime is 101001011010047. The reversal of 101001011009999 is 999900110100101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101001011009999 - 2³⁶ = 100932291533263 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001011009399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500505504999 + 50500505505000.

It is an arithmetic number, because the mean of its divisors is an integer number (50500505505000).

Almost surely, 2^{101001011009999} is an apocalyptic number.

101001011009999 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001011009999 is an equidigital number, since it uses as much as digits as its factorization.

101001011009999 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6561, while the sum is 41.

The spelling of 101001011009999 in words is "one hundred one trillion, one billion, eleven million, nine thousand, nine hundred ninety-nine".