111220211220100 has 72 divisors (see below), whose sum is σ = 243762277731336. Its totient is φ = 44043120000000.

The previous prime is 111220211220071. The next prime is 111220211220121. The reversal of 111220211220100 is 1022112022111.

It can be written as a sum of positive squares in 12 ways, for example, as 7452523584 + 111212758696516 = 86328^2 + 10545746^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99444000 + ... + 100556200.

It is an arithmetic number, because the mean of its divisors is an integer number (3385587190713).

Almost surely, 2^{111220211220100} is an apocalyptic number.

111220211220100 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 111220211220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121881138865668).

111220211220100 is an abundant number, since it is smaller than the sum of its proper divisors (132542066511236).

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

111220211220100 is a wasteful number, since it uses less digits than its factorization.

111220211220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122217 (or 1122210 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 111220211220100 its reverse (1022112022111), we get a palindrome (112242323242211).

The spelling of 111220211220100 in words is "one hundred eleven trillion, two hundred twenty billion, two hundred eleven million, two hundred twenty thousand, one hundred".