101000001101011 has 2 divisors, whose sum is σ = 101000001101012. Its totient is φ = 101000001101010.

The previous prime is 101000001101009. The next prime is 101000001101029. The reversal of 101000001101011 is 110101100000101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101000001101011 - 2¹ = 101000001101009 is a prime.

Together with 101000001101009, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 101000001100985 and 101000001101003.

It is not a weakly prime, because it can be changed into another prime (101000001101081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500000550505 + 50500000550506.

It is an arithmetic number, because the mean of its divisors is an integer number (50500000550506).

Almost surely, 2^{101000001101011} is an apocalyptic number.

101000001101011 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000001101011 is an equidigital number, since it uses as much as digits as its factorization.

101000001101011 is an evil number, because the sum of its binary digits is even.

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

Adding to 101000001101011 its reverse (110101100000101), we get a palindrome (211101101101112).

The spelling of 101000001101011 in words is "one hundred one trillion, one million, one hundred one thousand, eleven".