110110011001011 has 128 divisors (see below), whose sum is σ = 187358365440000. Its totient is φ = 62607671746560.

The previous prime is 110110011000989. The next prime is 110110011001031. The reversal of 110110011001011 is 110100110011011.

It is not a de Polignac number, because 110110011001011 - 2¹⁰ = 110110010999987 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 = 110110011000984 and 110110011001002.

It is not an unprimeable number, because it can be changed into a prime (110110011001031) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68011123960 + ... + 68011125578.

It is an arithmetic number, because the mean of its divisors is an integer number (1463737230000).

Almost surely, 2^{110110011001011} is an apocalyptic number.

110110011001011 is a deficient number, since it is larger than the sum of its proper divisors (77248354438989).

110110011001011 is a wasteful number, since it uses less digits than its factorization.

110110011001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3834 (or 3828 counting only the distinct ones).

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

Adding to 110110011001011 its reverse (110100110011011), we get a palindrome (220210121012022).

It can be divided in two parts, 11011001 and 1001011, that multiplied together give a palindrome (11022133122011).

The spelling of 110110011001011 in words is "one hundred ten trillion, one hundred ten billion, eleven million, one thousand, eleven".