101000109011 has 16 divisors (see below), whose sum is σ = 107821310688. Its totient is φ = 94279680000.

The previous prime is 101000108953. The next prime is 101000109083. The reversal of 101000109011 is 110901000101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101000109011 - 2¹⁰ = 101000107987 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101000109211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1039511 + ... + 1132511.

It is an arithmetic number, because the mean of its divisors is an integer number (6738831918).

Almost surely, 2^101000109011 is an apocalyptic number.

101000109011 is a deficient number, since it is larger than the sum of its proper divisors (6821201677).

101000109011 is a wasteful number, since it uses less digits than its factorization.

101000109011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93542.

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 101000109011 its reverse (110901000101), we get a palindrome (211901109112).

The spelling of 101000109011 in words is "one hundred one billion, one hundred nine thousand, eleven".