110102102221100 has 216 divisors, whose sum is σ = 281980713266784. Its totient is φ = 37151265536000.

The previous prime is 110102102221081. The next prime is 110102102221127. The reversal of 110102102221100 is 1122201201011.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 10835294 + ... + 18374106.

It is an arithmetic number, because the mean of its divisors is an integer number (1305466265124).

Almost surely, 2^{110102102221100} is an apocalyptic number.

110102102221100 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 110102102221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140990356633392).

110102102221100 is an abundant number, since it is smaller than the sum of its proper divisors (171878611045684).

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

110102102221100 is a wasteful number, since it uses less digits than its factorization.

110102102221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7538937 (or 7538919 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110102102221100 its reverse (1122201201011), we get a palindrome (111224303422111).

The spelling of 110102102221100 in words is "one hundred ten trillion, one hundred two billion, one hundred two million, two hundred twenty-one thousand, one hundred".