110021101000011 has 40 divisors (see below), whose sum is σ = 168617244098160. Its totient is φ = 71466133552128.

The previous prime is 110021101000009. The next prime is 110021101000037. The reversal of 110021101000011 is 110000101120011.

It is not a de Polignac number, because 110021101000011 - 2¹ = 110021101000009 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 = 110021100999957 and 110021101000002.

It is not an unprimeable number, because it can be changed into a prime (110021101002011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 101326270 + ... + 102406323.

It is an arithmetic number, because the mean of its divisors is an integer number (4215431102454).

Almost surely, 2^{110021101000011} is an apocalyptic number.

110021101000011 is a deficient number, since it is larger than the sum of its proper divisors (58596143098149).

110021101000011 is a wasteful number, since it uses less digits than its factorization.

110021101000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203732777 (or 203732768 counting only the distinct ones).

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

Adding to 110021101000011 its reverse (110000101120011), we get a palindrome (220021202120022).

The spelling of 110021101000011 in words is "one hundred ten trillion, twenty-one billion, one hundred one million, eleven", and thus it is an aban number.