1020110411320 has 384 divisors, whose sum is σ = 3205562688000. Its totient is φ = 283373475840.

The previous prime is 1020110411267. The next prime is 1020110411357. The reversal of 1020110411320 is 231140110201.

It is a junction number, because it is equal to n+sod(n) for n = 1020110411294 and 1020110411303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15061291 + ... + 15128869.

It is an arithmetic number, because the mean of its divisors is an integer number (8347819500).

Almost surely, 2^{1020110411320} is an apocalyptic number.

1020110411320 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 1020110411320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602781344000).

1020110411320 is an abundant number, since it is smaller than the sum of its proper divisors (2185452276680).

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

1020110411320 is a wasteful number, since it uses less digits than its factorization.

1020110411320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67663 (or 67646 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1020110411320 its reverse (231140110201), we get a palindrome (1251250521521).

The spelling of 1020110411320 in words is "one trillion, twenty billion, one hundred ten million, four hundred eleven thousand, three hundred twenty".