110121100112100 has 432 divisors, whose sum is σ = 421978261662720. Its totient is φ = 21536287180800.

The previous prime is 110121100112081. The next prime is 110121100112129. The reversal of 110121100112100 is 1211001121011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1571760 + ... + 14923559.

Almost surely, 2^{110121100112100} is an apocalyptic number.

110121100112100 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 110121100112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210989130831360).

110121100112100 is an abundant number, since it is smaller than the sum of its proper divisors (311857161550620).

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

110121100112100 is a wasteful number, since it uses less digits than its factorization.

110121100112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16495388 (or 16495364 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 110121100112100 its reverse (1211001121011), we get a palindrome (111332101233111).

It can be divided in two parts, 1 and 10121100112100, that added together give a palindrome (10121100112101).

The spelling of 110121100112100 in words is "one hundred ten trillion, one hundred twenty-one billion, one hundred million, one hundred twelve thousand, one hundred".