110121110212100 has 288 divisors, whose sum is σ = 273493991097600. Its totient is φ = 38151258163200.

The previous prime is 110121110212073. The next prime is 110121110212103. The reversal of 110121110212100 is 1212011121011.

It is not an unprimeable number, because it can be changed into a prime (110121110212103) 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 95 ways as a sum of consecutive naturals, for example, 1205981246 + ... + 1206072554.

Almost surely, 2^{110121110212100} is an apocalyptic number.

110121110212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110121110212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136746995548800).

110121110212100 is an abundant number, since it is smaller than the sum of its proper divisors (163372880885500).

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

110121110212100 is a wasteful number, since it uses less digits than its factorization.

110121110212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91823 (or 91816 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 110121110212100 its reverse (1212011121011), we get a palindrome (111333121333111).

The spelling of 110121110212100 in words is "one hundred ten trillion, one hundred twenty-one billion, one hundred ten million, two hundred twelve thousand, one hundred".