1020011020 has 48 divisors (see below), whose sum is σ = 2461612608. Its totient is φ = 347777280.

The previous prime is 1020011017. The next prime is 1020011077. The reversal of 1020011020 is 201100201.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 1020010994 and 1020011012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5214 + ... + 45466.

It is an arithmetic number, because the mean of its divisors is an integer number (51283596).

Almost surely, 2^1020011020 is an apocalyptic number.

1020011020 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 1020011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230806304).

1020011020 is an abundant number, since it is smaller than the sum of its proper divisors (1441601588).

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

1020011020 is a wasteful number, since it uses less digits than its factorization.

1020011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40450 (or 40448 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1020011020 is about 31937.6113696688. The cubic root of 1020011020 is about 1006.6263347047.

Adding to 1020011020 its reverse (201100201), we get a palindrome (1221111221).

The spelling of 1020011020 in words is "one billion, twenty million, eleven thousand, twenty".