110112221200100 has 144 divisors (see below), whose sum is σ = 277727001000960. Its totient is φ = 37110178512000.

The previous prime is 110112221200067. The next prime is 110112221200133. The reversal of 110112221200100 is 1002122211011.

It is an interprime number because it is at equal distance from previous prime (110112221200067) and next prime (110112221200133).

It is a super-3 number, since 3×110112221200100³ (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613256537 + ... + 613436063.

Almost surely, 2^{110112221200100} is an apocalyptic number.

110112221200100 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 110112221200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138863500500480).

110112221200100 is an abundant number, since it is smaller than the sum of its proper divisors (167614779800860).

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

110112221200100 is a wasteful number, since it uses less digits than its factorization.

110112221200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194458 (or 194451 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110112221200100 its reverse (1002122211011), we get a palindrome (111114343411111).

The spelling of 110112221200100 in words is "one hundred ten trillion, one hundred twelve billion, two hundred twenty-one million, two hundred thousand, one hundred".