110102204420 has 192 divisors, whose sum is σ = 271306107072. Its totient is φ = 37158912000.

The previous prime is 110102204419. The next prime is 110102204447. The reversal of 110102204420 is 24402201011.

It can be written as a sum of positive squares in 32 ways, for example, as 108009507904 + 2092696516 = 328648^2 + 45746^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43672760 + ... + 43675280.

It is an arithmetic number, because the mean of its divisors is an integer number (1413052641).

Almost surely, 2^110102204420 is an apocalyptic number.

110102204420 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 110102204420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135653053536).

110102204420 is an abundant number, since it is smaller than the sum of its proper divisors (161203902652).

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

110102204420 is a wasteful number, since it uses less digits than its factorization.

110102204420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 110102204420 its reverse (24402201011), we get a palindrome (134504405431).

The spelling of 110102204420 in words is "one hundred ten billion, one hundred two million, two hundred four thousand, four hundred twenty".