1020010441120 has 192 divisors, whose sum is σ = 2707010482176. Its totient is φ = 359937146880.

The previous prime is 1020010441061. The next prime is 1020010441139. The reversal of 1020010441120 is 211440100201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1020010441094 and 1020010441103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24920512 + ... + 24961408.

It is an arithmetic number, because the mean of its divisors is an integer number (14099012928).

Almost surely, 2^{1020010441120} is an apocalyptic number.

1020010441120 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 1020010441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353505241088).

1020010441120 is an abundant number, since it is smaller than the sum of its proper divisors (1687000041056).

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

1020010441120 is a wasteful number, since it uses less digits than its factorization.

1020010441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41343 (or 41335 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1020010441120 its reverse (211440100201), we get a palindrome (1231450541321).

The spelling of 1020010441120 in words is "one trillion, twenty billion, ten million, four hundred forty-one thousand, one hundred twenty".