101000011001011 has 8 divisors (see below), whose sum is σ = 101371674704864. Its totient is φ = 100628397964800.

The previous prime is 101000011000991. The next prime is 101000011001027. The reversal of 101000011001011 is 110100110000101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101000011001011 - 2⁴³ = 92203917978803 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101000011000985 and 101000011001003.

It is not an unprimeable number, because it can be changed into a prime (101000011001041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8670495 + ... + 16648648.

It is an arithmetic number, because the mean of its divisors is an integer number (12671459338108).

Almost surely, 2^{101000011001011} is an apocalyptic number.

101000011001011 is a deficient number, since it is larger than the sum of its proper divisors (371663703853).

101000011001011 is a wasteful number, since it uses less digits than its factorization.

101000011001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25333821.

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

Adding to 101000011001011 its reverse (110100110000101), we get a palindrome (211100121001112).

The spelling of 101000011001011 in words is "one hundred one trillion, eleven million, one thousand, eleven".