101001000011083 has 2 divisors, whose sum is σ = 101001000011084. Its totient is φ = 101001000011082.

The previous prime is 101001000011053. The next prime is 101001000011159. The reversal of 101001000011083 is 380110000100101.

It is a weak prime.

It is an emirp because it is prime and its reverse (380110000100101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101001000011083 - 2²⁵ = 101000966456651 is a prime.

It is a super-2 number, since 2×101001000011083² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101001000011053) 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, 50500500005541 + 50500500005542.

It is an arithmetic number, because the mean of its divisors is an integer number (50500500005542).

Almost surely, 2^{101001000011083} is an apocalyptic number.

101001000011083 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001000011083 is an equidigital number, since it uses as much as digits as its factorization.

101001000011083 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 101001000011083 its reverse (380110000100101), we get a palindrome (481111000111184).

The spelling of 101001000011083 in words is "one hundred one trillion, one billion, eleven thousand, eighty-three".