110201111020100 has 144 divisors (see below), whose sum is σ = 259391999005776. Its totient is φ = 40473550848000.

The previous prime is 110201111020097. The next prime is 110201111020109. The reversal of 110201111020100 is 1020111102011.

It can be written as a sum of positive squares in 24 ways, for example, as 39359161121344 + 70841949898756 = 6273688^2 + 8416766^2 .

It is not an unprimeable number, because it can be changed into a prime (110201111020109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2698275680 + ... + 2698316520.

It is an arithmetic number, because the mean of its divisors is an integer number (1801333326429).

Almost surely, 2^{110201111020100} is an apocalyptic number.

110201111020100 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 110201111020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129695999502888).

110201111020100 is an abundant number, since it is smaller than the sum of its proper divisors (149190887985676).

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

110201111020100 is a wasteful number, since it uses less digits than its factorization.

110201111020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79626 (or 79619 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 110201111020100 its reverse (1020111102011), we get a palindrome (111221222122111).

The spelling of 110201111020100 in words is "one hundred ten trillion, two hundred one billion, one hundred eleven million, twenty thousand, one hundred".