110112200220100 has 72 divisors (see below), whose sum is σ = 260424028045440. Its totient is φ = 40166971236480.

The previous prime is 110112200220073. The next prime is 110112200220101. The reversal of 110112200220100 is 1022002211011.

It is a super-2 number, since 2×110112200220100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (110112200220101) 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, 510143260 + ... + 510359059.

It is an arithmetic number, because the mean of its divisors is an integer number (3617000389520).

Almost surely, 2^{110112200220100} is an apocalyptic number.

110112200220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110112200220100 is an abundant number, since it is smaller than the sum of its proper divisors (150311827825340).

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

110112200220100 is a wasteful number, since it uses less digits than its factorization.

110112200220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020502429 (or 1020502422 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 110112200220100 its reverse (1022002211011), we get a palindrome (111134202431111).

The spelling of 110112200220100 in words is "one hundred ten trillion, one hundred twelve billion, two hundred million, two hundred twenty thousand, one hundred".