110121110122100 has 72 divisors (see below), whose sum is σ = 297927657951168. Its totient is φ = 34323462892800.

The previous prime is 110121110121977. The next prime is 110121110122109. The reversal of 110121110122100 is 1221011121011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110121110122109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7150713737 + ... + 7150729136.

Almost surely, 2^{110121110122100} is an apocalyptic number.

110121110122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110121110122100 is an abundant number, since it is smaller than the sum of its proper divisors (187806547829068).

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

110121110122100 is a wasteful number, since it uses less digits than its factorization.

110121110122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14301442905 (or 14301442898 counting only the distinct ones).

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

Adding to 110121110122100 its reverse (1221011121011), we get a palindrome (111342121243111).

The spelling of 110121110122100 in words is "one hundred ten trillion, one hundred twenty-one billion, one hundred ten million, one hundred twenty-two thousand, one hundred".