110112200221100 has 288 divisors, whose sum is σ = 315469678648320. Its totient is φ = 32297481216000.

The previous prime is 110112200221081. The next prime is 110112200221123. The reversal of 110112200221100 is 1122002211011.

It is a super-2 number, since 2×110112200221100² (a number of 29 digits) contains 22 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 95 ways as a sum of consecutive naturals, for example, 1048325585 + ... + 1048430615.

It is an arithmetic number, because the mean of its divisors is an integer number (1095380828640).

Almost surely, 2^{110112200221100} is an apocalyptic number.

110112200221100 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 110112200221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157734839324160).

110112200221100 is an abundant number, since it is smaller than the sum of its proper divisors (205357478427220).

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

110112200221100 is a wasteful number, since it uses less digits than its factorization.

110112200221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113089 (or 113082 counting only the distinct ones).

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

Adding to 110112200221100 its reverse (1122002211011), we get a palindrome (111234202432111).

It can be divided in two parts, 1 and 10112200221100, that added together give a palindrome (10112200221101).

The spelling of 110112200221100 in words is "one hundred ten trillion, one hundred twelve billion, two hundred million, two hundred twenty-one thousand, one hundred".