101000111011011 has 24 divisors (see below), whose sum is σ = 153569795296320. Its totient is φ = 63788557239216.

The previous prime is 101000111010983. The next prime is 101000111011117. The reversal of 101000111011011 is 110110111000101.

It is not a de Polignac number, because 101000111011011 - 2²¹ = 101000108913859 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 = 101000111010984 and 101000111011002.

It is not an unprimeable number, because it can be changed into a prime (101000111018011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6601200 + ... + 15670866.

It is an arithmetic number, because the mean of its divisors is an integer number (6398741470680).

Almost surely, 2^{101000111011011} is an apocalyptic number.

101000111011011 is a deficient number, since it is larger than the sum of its proper divisors (52569684285309).

101000111011011 is a wasteful number, since it uses less digits than its factorization.

101000111011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9134815 (or 9134812 counting only the distinct ones).

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

Adding to 101000111011011 its reverse (110110111000101), we get a palindrome (211110222011112).

The spelling of 101000111011011 in words is "one hundred one trillion, one hundred eleven million, eleven thousand, eleven".