110021210100 has 216 divisors, whose sum is σ = 349847217720. Its totient is φ = 28917181440.

The previous prime is 110021210081. The next prime is 110021210111. The reversal of 110021210100 is 1012120011.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 11260605456 + 98760604644 = 106116^2 + 314262^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 19322854 + ... + 19328546.

It is an arithmetic number, because the mean of its divisors is an integer number (1619663045).

Almost surely, 2^110021210100 is an apocalyptic number.

110021210100 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 110021210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174923608860).

110021210100 is an abundant number, since it is smaller than the sum of its proper divisors (239826007620).

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

110021210100 is a wasteful number, since it uses less digits than its factorization.

110021210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6019 (or 6009 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110021210100 its reverse (1012120011), we get a palindrome (111033330111).

The spelling of 110021210100 in words is "one hundred ten billion, twenty-one million, two hundred ten thousand, one hundred".