102222222220201 has 32 divisors (see below), whose sum is σ = 105351640480800. Its totient is φ = 99155743948800.

The previous prime is 102222222220199. The next prime is 102222222220213. The reversal of 102222222220201 is 102022222222201.

It can be written as a sum of positive squares in 16 ways, for example, as 34602865056400 + 67619357163801 = 5882420^2 + 8223099^2 .

It is a cyclic number.

It is not a de Polignac number, because 102222222220201 - 2¹ = 102222222220199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102222222227201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3584592195 + ... + 3584620711.

It is an arithmetic number, because the mean of its divisors is an integer number (3292238765025).

Almost surely, 2^{102222222220201} is an apocalyptic number.

It is an amenable number.

102222222220201 is a deficient number, since it is larger than the sum of its proper divisors (3129418260599).

102222222220201 is a wasteful number, since it uses less digits than its factorization.

102222222220201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32349.

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 102222222220201 its reverse (102022222222201), we get a palindrome (204244444442402).

The spelling of 102222222220201 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred twenty-two million, two hundred twenty thousand, two hundred one".