110000101111011 has 96 divisors (see below), whose sum is σ = 167396567659776. Its totient is φ = 69523384320000.

The previous prime is 110000101110961. The next prime is 110000101111097. The reversal of 110000101111011 is 110111101000011.

It is not a de Polignac number, because 110000101111011 - 2⁶ = 110000101110947 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 = 110000101110984 and 110000101111002.

It is not an unprimeable number, because it can be changed into a prime (110000101111111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3269805751 + ... + 3269839391.

It is an arithmetic number, because the mean of its divisors is an integer number (1743714246456).

Almost surely, 2^{110000101111011} is an apocalyptic number.

110000101111011 is a deficient number, since it is larger than the sum of its proper divisors (57396466548765).

110000101111011 is a wasteful number, since it uses less digits than its factorization.

110000101111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34653 (or 34650 counting only the distinct ones).

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

Adding to 110000101111011 its reverse (110111101000011), we get a palindrome (220111202111022).

The spelling of 110000101111011 in words is "one hundred ten trillion, one hundred one million, one hundred eleven thousand, eleven".