1020011120 has 80 divisors (see below), whose sum is σ = 2454217920. Its totient is φ = 393984000.

The previous prime is 1020011093. The next prime is 1020011123. The reversal of 1020011120 is 211100201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1020011098 and 1020011107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020011123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 329741 + ... + 332819.

It is an arithmetic number, because the mean of its divisors is an integer number (30677724).

Almost surely, 2^1020011120 is an apocalyptic number.

1020011120 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 1020011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227108960).

1020011120 is an abundant number, since it is smaller than the sum of its proper divisors (1434206800).

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

1020011120 is a wasteful number, since it uses less digits than its factorization.

1020011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3234 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1020011120 is about 31937.6129352211. The cubic root of 1020011120 is about 1006.6263676006.

Adding to 1020011120 its reverse (211100201), we get a palindrome (1231111321).

The spelling of 1020011120 in words is "one billion, twenty million, eleven thousand, one hundred twenty".