102201000002201 has 8 divisors (see below), whose sum is σ = 106178928527880. Its totient is φ = 98253321884032.

The previous prime is 102201000002191. The next prime is 102201000002209. The reversal of 102201000002201 is 102200000102201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 112225000000 + 102088775002201 = 335000^2 + 10103899^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102201000002201 - 2⁶ = 102201000002137 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102201000002209) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7562594990 + ... + 7562608503.

It is an arithmetic number, because the mean of its divisors is an integer number (13272366065985).

Almost surely, 2^{102201000002201} is an apocalyptic number.

It is an amenable number.

102201000002201 is a deficient number, since it is larger than the sum of its proper divisors (3977928525679).

102201000002201 is a wasteful number, since it uses less digits than its factorization.

102201000002201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15125203755.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102201000002201 its reverse (102200000102201), we get a palindrome (204401000104402).

It can be divided in two parts, 10220100000 and 2201, that added together give a palindrome (10220102201).

The spelling of 102201000002201 in words is "one hundred two trillion, two hundred one billion, two thousand, two hundred one".