110010111001011 has 112 divisors (see below), whose sum is σ = 177870121394112. Its totient is φ = 67606097644800.

The previous prime is 110010111000961. The next prime is 110010111001031. The reversal of 110010111001011 is 110100111010011.

It is not a de Polignac number, because 110010111001011 - 2³³ = 110001521066419 is a prime.

It is a super-2 number, since 2×110010111001011² (a number of 29 digits) contains 22 as substring.

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 = 110010111000984 and 110010111001002.

It is not an unprimeable number, because it can be changed into a prime (110010111001031) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 38451627721 + ... + 38451630581.

It is an arithmetic number, because the mean of its divisors is an integer number (1588126083876).

Almost surely, 2^{110010111001011} is an apocalyptic number.

110010111001011 is a deficient number, since it is larger than the sum of its proper divisors (67860010393101).

110010111001011 is a wasteful number, since it uses less digits than its factorization.

110010111001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7016 (or 7001 counting only the distinct ones).

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

Adding to 110010111001011 its reverse (110100111010011), we get a palindrome (220110222011022).

The spelling of 110010111001011 in words is "one hundred ten trillion, ten billion, one hundred eleven million, one thousand, eleven".