1020322221201 has 12 divisors (see below), whose sum is σ = 1524619411380. Its totient is φ = 656759130720.

The previous prime is 1020322221181. The next prime is 1020322221221. The reversal of 1020322221201 is 1021222230201.

1020322221201 is a `hidden beast` number, since 102 + 0 + 322 + 221 + 20 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1020322221181) and next prime (1020322221221).

It can be written as a sum of positive squares in 2 ways, for example, as 234929243025 + 785392978176 = 484695^2 + 886224^2 .

It is not a de Polignac number, because 1020322221201 - 2⁶ = 1020322221137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1020322221221) 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, 1954640010 + ... + 1954640531.

It is an arithmetic number, because the mean of its divisors is an integer number (127051617615).

Almost surely, 2^{1020322221201} is an apocalyptic number.

It is an amenable number.

1020322221201 is a deficient number, since it is larger than the sum of its proper divisors (504297190179).

1020322221201 is a wasteful number, since it uses less digits than its factorization.

1020322221201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3909280576 (or 3909280573 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1020322221201 its reverse (1021222230201), we get a palindrome (2041544451402).

The spelling of 1020322221201 in words is "one trillion, twenty billion, three hundred twenty-two million, two hundred twenty-one thousand, two hundred one".