1020211121 has 8 divisors (see below), whose sum is σ = 1030181064. Its totient is φ = 1010257920.

The previous prime is 1020211117. The next prime is 1020211133. The reversal of 1020211121 is 1211120201.

It can be written as a sum of positive squares in 4 ways, for example, as 308388721 + 711822400 = 17561^2 + 26680^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1020211121 - 2² = 1020211117 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020211921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143081 + ... + 150041.

It is an arithmetic number, because the mean of its divisors is an integer number (128772633).

Almost surely, 2^1020211121 is an apocalyptic number.

It is an amenable number.

1020211121 is a deficient number, since it is larger than the sum of its proper divisors (9969943).

1020211121 is a wasteful number, since it uses less digits than its factorization.

1020211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8371.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 1020211121 is about 31940.7439017941. The cubic root of 1020211121 is about 1006.6921554857.

Adding to 1020211121 its reverse (1211120201), we get a palindrome (2231331322).

The spelling of 1020211121 in words is "one billion, twenty million, two hundred eleven thousand, one hundred twenty-one".