102202102212201 has 12 divisors (see below), whose sum is σ = 149086894977540. Its totient is φ = 67460133472800.

The previous prime is 102202102212151. The next prime is 102202102212239. The reversal of 102202102212201 is 102212201202201.

It is a happy number.

102202102212201 is a `hidden beast` number, since 1 + 0 + 220 + 2 + 1 + 0 + 221 + 220 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47987817800976 + 54214284411225 = 6927324^2 + 7363035^2 .

It is not a de Polignac number, because 102202102212201 - 2⁶ = 102202102212137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102202102212241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56216776986 + ... + 56216778803.

It is an arithmetic number, because the mean of its divisors is an integer number (12423907914795).

Almost surely, 2^{102202102212201} is an apocalyptic number.

It is an amenable number.

102202102212201 is a deficient number, since it is larger than the sum of its proper divisors (46884792765339).

102202102212201 is a wasteful number, since it uses less digits than its factorization.

102202102212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112433555896 (or 112433555893 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102202102212201 its reverse (102212201202201), we get a palindrome (204414303414402).

The spelling of 102202102212201 in words is "one hundred two trillion, two hundred two billion, one hundred two million, two hundred twelve thousand, two hundred one".