102201321301 has 16 divisors (see below), whose sum is σ = 107487231984. Its totient is φ = 97067303424.

The previous prime is 102201321263. The next prime is 102201321349. The reversal of 102201321301 is 103123102201.

It can be written as a sum of positive squares in 8 ways, for example, as 12138310276 + 90063011025 = 110174^2 + 300105^2 .

It is a cyclic number.

It is not a de Polignac number, because 102201321301 - 2¹⁵ = 102201288533 is a prime.

It is a super-2 number, since 2×102201321301² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201327301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254041 + ... + 518593.

It is an arithmetic number, because the mean of its divisors is an integer number (6717951999).

Almost surely, 2^102201321301 is an apocalyptic number.

It is an amenable number.

102201321301 is a deficient number, since it is larger than the sum of its proper divisors (5285910683).

102201321301 is a wasteful number, since it uses less digits than its factorization.

102201321301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264840.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 102201321301 its reverse (103123102201), we get a palindrome (205324423502).

The spelling of 102201321301 in words is "one hundred two billion, two hundred one million, three hundred twenty-one thousand, three hundred one".