1020211020 has 72 divisors (see below), whose sum is σ = 3097471104. Its totient is φ = 271807488.

The previous prime is 1020211019. The next prime is 1020211051. The reversal of 1020211020 is 201120201.

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 = 1020210993 and 1020211011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280252 + ... + 283868.

It is an arithmetic number, because the mean of its divisors is an integer number (43020432).

Almost surely, 2^1020211020 is an apocalyptic number.

1020211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020211020 is an abundant number, since it is smaller than the sum of its proper divisors (2077260084).

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

1020211020 is a wasteful number, since it uses less digits than its factorization.

1020211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5199 (or 5194 counting only the distinct ones).

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

The square root of 1020211020 is about 31940.7423207414. The cubic root of 1020211020 is about 1006.6921222651.

Adding to 1020211020 its reverse (201120201), we get a palindrome (1221331221).

It can be divided in two parts, 102021 and 1020, that added together give a square (103041 = 321²).

The spelling of 1020211020 in words is "one billion, twenty million, two hundred eleven thousand, twenty".