102201100222201 has 8 divisors (see below), whose sum is σ = 103604557933800. Its totient is φ = 100797735555072.

The previous prime is 102201100222163. The next prime is 102201100222241. The reversal of 102201100222201 is 102222001102201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19978352181225 + 82222748040976 = 4469715^2 + 9067676^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 102201100222201 - 2¹³ = 102201100214009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102201100222241) 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, 21047776 + ... + 25444273.

It is an arithmetic number, because the mean of its divisors is an integer number (12950569741725).

Almost surely, 2^{102201100222201} is an apocalyptic number.

It is an amenable number.

102201100222201 is a deficient number, since it is larger than the sum of its proper divisors (1403457711599).

102201100222201 is an equidigital number, since it uses as much as digits as its factorization.

102201100222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46522235.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102201100222201 its reverse (102222001102201), we get a palindrome (204423101324402).

The spelling of 102201100222201 in words is "one hundred two trillion, two hundred one billion, one hundred million, two hundred twenty-two thousand, two hundred one".