110121023011100 has 144 divisors (see below), whose sum is σ = 252905817991680. Its totient is φ = 41533014969600.

The previous prime is 110121023011081. The next prime is 110121023011141. The reversal of 110121023011100 is 1110320121011.

110121023011100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110121023011100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1056335579 + ... + 1056439821.

It is an arithmetic number, because the mean of its divisors is an integer number (1756290402720).

Almost surely, 2^{110121023011100} is an apocalyptic number.

110121023011100 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 110121023011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126452908995840).

110121023011100 is an abundant number, since it is smaller than the sum of its proper divisors (142784794980580).

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

110121023011100 is a wasteful number, since it uses less digits than its factorization.

110121023011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110820 (or 110813 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 110121023011100 its reverse (1110320121011), we get a palindrome (111231343132111).

The spelling of 110121023011100 in words is "one hundred ten trillion, one hundred twenty-one billion, twenty-three million, eleven thousand, one hundred".