101000111101011 has 32 divisors (see below), whose sum is σ = 154811861107200. Its totient is φ = 65002149868320.

The previous prime is 101000111101003. The next prime is 101000111101013. The reversal of 101000111101011 is 110101111000101.

It is not a de Polignac number, because 101000111101011 - 2³ = 101000111101003 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 = 101000111100984 and 101000111101002.

It is not an unprimeable number, because it can be changed into a prime (101000111101013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3929535 + ... + 14745896.

It is an arithmetic number, because the mean of its divisors is an integer number (4837870659600).

Almost surely, 2^{101000111101011} is an apocalyptic number.

101000111101011 is a deficient number, since it is larger than the sum of its proper divisors (53811750006189).

101000111101011 is a wasteful number, since it uses less digits than its factorization.

101000111101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18682376 (or 18682370 counting only the distinct ones).

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

Adding to 101000111101011 its reverse (110101111000101), we get a palindrome (211101222101112).

The spelling of 101000111101011 in words is "one hundred one trillion, one hundred eleven million, one hundred one thousand, eleven".