1021012020 has 288 divisors, whose sum is σ = 3778306560. Its totient is φ = 228130560.

The previous prime is 1021011991. The next prime is 1021012033. The reversal of 1021012020 is 202101201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1021011993 and 1021012011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1243210 + ... + 1244030.

It is an arithmetic number, because the mean of its divisors is an integer number (13119120).

Almost surely, 2^1021012020 is an apocalyptic number.

1021012020 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 1021012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889153280).

1021012020 is an abundant number, since it is smaller than the sum of its proper divisors (2757294540).

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

1021012020 is a wasteful number, since it uses less digits than its factorization.

1021012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1021012020 is about 31953.2787050093. The cubic root of 1021012020 is about 1006.9555153061.

Adding to 1021012020 its reverse (202101201), we get a palindrome (1223113221).

The spelling of 1021012020 in words is "one billion, twenty-one million, twelve thousand, twenty".