101001000011011 has 2 divisors, whose sum is σ = 101001000011012. Its totient is φ = 101001000011010.

The previous prime is 101001000010993. The next prime is 101001000011047. The reversal of 101001000011011 is 110110000100101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101001000011011 - 2¹⁷ = 101000999879939 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101001000010985 and 101001000011003.

It is not a weakly prime, because it can be changed into another prime (101001000011411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500500005505 + 50500500005506.

It is an arithmetic number, because the mean of its divisors is an integer number (50500500005506).

Almost surely, 2^{101001000011011} is an apocalyptic number.

101001000011011 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001000011011 is an equidigital number, since it uses as much as digits as its factorization.

101001000011011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101001000011011 its reverse (110110000100101), we get a palindrome (211111000111112).

The spelling of 101001000011011 in words is "one hundred one trillion, one billion, eleven thousand, eleven".