101011111011 has 48 divisors (see below), whose sum is σ = 153620064000. Its totient is φ = 63864319680.

The previous prime is 101011111001. The next prime is 101011111021. The reversal of 101011111011 is 110111110101.

It is an interprime number because it is at equal distance from previous prime (101011111001) and next prime (101011111021).

It is not a de Polignac number, because 101011111011 - 2²⁶ = 100944002147 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 = 101011110984 and 101011111002.

It is not an unprimeable number, because it can be changed into a prime (101011111001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28932976 + ... + 28936466.

It is an arithmetic number, because the mean of its divisors is an integer number (3200418000).

Almost surely, 2^101011111011 is an apocalyptic number.

101011111011 is a deficient number, since it is larger than the sum of its proper divisors (52608952989).

101011111011 is a wasteful number, since it uses less digits than its factorization.

101011111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5464 (or 5461 counting only the distinct ones).

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

Adding to 101011111011 its reverse (110111110101), we get a palindrome (211122221112).

The spelling of 101011111011 in words is "one hundred one billion, eleven million, one hundred eleven thousand, eleven".