110110102011 has 72 divisors (see below), whose sum is σ = 204632295504. Its totient is φ = 56510213760.

The previous prime is 110110102007. The next prime is 110110102019. The reversal of 110110102011 is 110201011011.

It is not a de Polignac number, because 110110102011 - 2² = 110110102007 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 = 110110101984 and 110110102002.

It is not an unprimeable number, because it can be changed into a prime (110110102019) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47425 + ... + 471666.

Almost surely, 2^110110102011 is an apocalyptic number.

110110102011 is a deficient number, since it is larger than the sum of its proper divisors (94522193493).

110110102011 is a wasteful number, since it uses less digits than its factorization.

110110102011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519161 (or 519151 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110110102011 its reverse (110201011011), we get a palindrome (220311113022).

The spelling of 110110102011 in words is "one hundred ten billion, one hundred ten million, one hundred two thousand, eleven".