110012020100 has 144 divisors (see below), whose sum is σ = 255687416208. Its totient is φ = 40940175360.

The previous prime is 110012020081. The next prime is 110012020109. The reversal of 110012020100 is 1020210011.

It can be written as a sum of positive squares in 24 ways, for example, as 83534872576 + 26477147524 = 289024^2 + 162718^2 .

It is not an unprimeable number, because it can be changed into a prime (110012020109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125440862 + ... + 125441738.

It is an arithmetic number, because the mean of its divisors is an integer number (1775607057).

Almost surely, 2^110012020100 is an apocalyptic number.

110012020100 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 110012020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127843708104).

110012020100 is an abundant number, since it is smaller than the sum of its proper divisors (145675396108).

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

110012020100 is a wasteful number, since it uses less digits than its factorization.

110012020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 110012020100 its reverse (1020210011), we get a palindrome (111032230111).

The spelling of 110012020100 in words is "one hundred ten billion, twelve million, twenty thousand, one hundred".