110101002011 has 48 divisors (see below), whose sum is σ = 148986478080. Its totient is φ = 79009032960.

The previous prime is 110101001971. The next prime is 110101002023. The reversal of 110101002011 is 110200101011.

It is a happy number.

It is not a de Polignac number, because 110101002011 - 2³⁰ = 109027260187 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110101002011.

It is not an unprimeable number, because it can be changed into a prime (110101002311) 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, 5703071 + ... + 5722343.

It is an arithmetic number, because the mean of its divisors is an integer number (3103884960).

Almost surely, 2^110101002011 is an apocalyptic number.

110101002011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110101002011 is a deficient number, since it is larger than the sum of its proper divisors (38885476069).

110101002011 is a wasteful number, since it uses less digits than its factorization.

110101002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19756 (or 19743 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 110101002011 its reverse (110200101011), we get a palindrome (220301103022).

The spelling of 110101002011 in words is "one hundred ten billion, one hundred one million, two thousand, eleven".