101000011111011 has 24 divisors (see below), whose sum is σ = 146919088680000. Its totient is φ = 66859485823872.

The previous prime is 101000011110997. The next prime is 101000011111033. The reversal of 101000011111011 is 110111110000101.

It is not a de Polignac number, because 101000011111011 - 2³⁹ = 100450255297123 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 = 101000011110984 and 101000011111002.

It is not an unprimeable number, because it can be changed into a prime (101000011111061) 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, 66519946 + ... + 68021343.

It is an arithmetic number, because the mean of its divisors is an integer number (6121628695000).

Almost surely, 2^{101000011111011} is an apocalyptic number.

101000011111011 is a deficient number, since it is larger than the sum of its proper divisors (45919077568989).

101000011111011 is a wasteful number, since it uses less digits than its factorization.

101000011111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134541883 (or 134541880 counting only the distinct ones).

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

Adding to 101000011111011 its reverse (110111110000101), we get a palindrome (211111121111112).

The spelling of 101000011111011 in words is "one hundred one trillion, eleven million, one hundred eleven thousand, eleven".