1020211120 has 80 divisors (see below), whose sum is σ = 2443906080. Its totient is φ = 395845632.

The previous prime is 1020211117. The next prime is 1020211133. The reversal of 1020211120 is 211120201.

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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 1020211097 and 1020211106.

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, 539136 + ... + 541024.

It is an arithmetic number, because the mean of its divisors is an integer number (30548826).

Almost surely, 2^1020211120 is an apocalyptic number.

1020211120 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 1020211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221953040).

1020211120 is an abundant number, since it is smaller than the sum of its proper divisors (1423694960).

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

1020211120 is a wasteful number, since it uses less digits than its factorization.

1020211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1020211120 is about 31940.7438861402. The cubic root of 1020211120 is about 1006.6921551568.

Adding to 1020211120 its reverse (211120201), we get a palindrome (1231331321).

The spelling of 1020211120 in words is "one billion, twenty million, two hundred eleven thousand, one hundred twenty".