101111000101011 has 32 divisors (see below), whose sum is σ = 152621796672000. Its totient is φ = 66134881953504.

The previous prime is 101111000101009. The next prime is 101111000101103. The reversal of 101111000101011 is 110101000111101.

It is not a de Polignac number, because 101111000101011 - 2¹ = 101111000101009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101111000100984 and 101111000101002.

It is not an unprimeable number, because it can be changed into a prime (101111000101211) 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 31 ways as a sum of consecutive naturals, for example, 193609680 + ... + 194131218.

It is an arithmetic number, because the mean of its divisors is an integer number (4769431146000).

Almost surely, 2^{101111000101011} is an apocalyptic number.

101111000101011 is a deficient number, since it is larger than the sum of its proper divisors (51510796570989).

101111000101011 is a wasteful number, since it uses less digits than its factorization.

101111000101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657080 (or 657074 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101111000101011 its reverse (110101000111101), we get a palindrome (211212000212112).

The spelling of 101111000101011 in words is "one hundred one trillion, one hundred eleven billion, one hundred one thousand, eleven".