110121200100016 has 80 divisors (see below), whose sum is σ = 243927890883648. Its totient is φ = 47177753702400.

The previous prime is 110121200100013. The next prime is 110121200100019. The reversal of 110121200100016 is 610001002121011.

110121200100016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (110121200100013) and next prime (110121200100019).

It is a super-2 number, since 2×110121200100016² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (110121200100013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5014387276 + ... + 5014409236.

Almost surely, 2^{110121200100016} is an apocalyptic number.

110121200100016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

110121200100016 is an abundant number, since it is smaller than the sum of its proper divisors (133806690783632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110121200100016 is a wasteful number, since it uses less digits than its factorization.

110121200100016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36110 (or 36104 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 110121200100016 its reverse (610001002121011), we get a palindrome (720122202221027).

The spelling of 110121200100016 in words is "one hundred ten trillion, one hundred twenty-one billion, two hundred million, one hundred thousand, sixteen".