1021122331201 has 48 divisors (see below), whose sum is σ = 1245686504400. Its totient is φ = 833530134528.

The previous prime is 1021122331183. The next prime is 1021122331241. The reversal of 1021122331201 is 1021332211201.

1021122331201 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 8 ways, for example, as 56161890225 + 964960440976 = 236985^2 + 982324^2 .

It is not a de Polignac number, because 1021122331201 - 2¹³ = 1021122323009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1021122331241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30547585 + ... + 30580993.

It is an arithmetic number, because the mean of its divisors is an integer number (25951802175).

Almost surely, 2^{1021122331201} is an apocalyptic number.

It is an amenable number.

1021122331201 is a deficient number, since it is larger than the sum of its proper divisors (224564173199).

1021122331201 is a wasteful number, since it uses less digits than its factorization.

1021122331201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33746 (or 33739 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1021122331201 its reverse (1021332211201), we get a palindrome (2042454542402).

The spelling of 1021122331201 in words is "one trillion, twenty-one billion, one hundred twenty-two million, three hundred thirty-one thousand, two hundred one".