1020221203121 has 12 divisors (see below), whose sum is σ = 1054373806836. Its totient is φ = 987141684960.

The previous prime is 1020221203117. The next prime is 1020221203153. The reversal of 1020221203121 is 1213021220201.

1020221203121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 315494532721 + 704726670400 = 561689^2 + 839480^2 .

It is not a de Polignac number, because 1020221203121 - 2² = 1020221203117 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1020221203121.

It is not an unprimeable number, because it can be changed into a prime (1020221703121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5713631 + ... + 5889483.

It is an arithmetic number, because the mean of its divisors is an integer number (87864483903).

Almost surely, 2^{1020221203121} is an apocalyptic number.

It is an amenable number.

1020221203121 is a deficient number, since it is larger than the sum of its proper divisors (34152603715).

1020221203121 is an equidigital number, since it uses as much as digits as its factorization.

1020221203121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181952 (or 181921 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1020221203121 its reverse (1213021220201), we get a palindrome (2233242423322).

The spelling of 1020221203121 in words is "one trillion, twenty billion, two hundred twenty-one million, two hundred three thousand, one hundred twenty-one".