1020201120 has 72 divisors (see below), whose sum is σ = 3481441236. Its totient is φ = 272053248.

The previous prime is 1020201113. The next prime is 1020201137. The reversal of 1020201120 is 211020201.

It can be written as a sum of positive squares in 2 ways, for example, as 1002862224 + 17338896 = 31668^2 + 4164^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 352797 + ... + 355676.

Almost surely, 2^1020201120 is an apocalyptic number.

1020201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020201120 is an abundant number, since it is smaller than the sum of its proper divisors (2461240116).

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

1020201120 is a wasteful number, since it uses less digits than its factorization.

1020201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708494 (or 708483 counting only the distinct ones).

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

The square root of 1020201120 is about 31940.5873458833. The cubic root of 1020201120 is about 1006.6888659832.

Adding to 1020201120 its reverse (211020201), we get a palindrome (1231221321).

The spelling of 1020201120 in words is "one billion, twenty million, two hundred one thousand, one hundred twenty".