110102110201020 has 384 divisors, whose sum is σ = 357345774600192. Its totient is φ = 24810994252800.

The previous prime is 110102110200989. The next prime is 110102110201073. The reversal of 110102110201020 is 20102011201011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110102110200987 and 110102110201005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4336252525 + ... + 4336277915.

It is an arithmetic number, because the mean of its divisors is an integer number (930587954688).

Almost surely, 2^{110102110201020} is an apocalyptic number.

110102110201020 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 110102110201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178672887300096).

110102110201020 is an abundant number, since it is smaller than the sum of its proper divisors (247243664399172).

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

110102110201020 is a wasteful number, since it uses less digits than its factorization.

110102110201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26081 (or 26079 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110102110201020 its reverse (20102011201011), we get a palindrome (130204121402031).

Subtracting from 110102110201020 its reverse (20102011201011), we obtain a palindrome (90000099000009).

The spelling of 110102110201020 in words is "one hundred ten trillion, one hundred two billion, one hundred ten million, two hundred one thousand, twenty".