102201112122201 has 12 divisors (see below), whose sum is σ = 151224409807380. Its totient is φ = 66472268046720.

The previous prime is 102201112122199. The next prime is 102201112122271. The reversal of 102201112122201 is 102221211102201.

102201112122201 is a `hidden beast` number, since 1 + 0 + 220 + 1 + 11 + 212 + 220 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22898952531225 + 79302159590976 = 4785285^2 + 8905176^2 .

It is not a de Polignac number, because 102201112122201 - 2¹ = 102201112122199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102201112122271) 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 11 ways as a sum of consecutive naturals, for example, 138483891396 + ... + 138483892133.

It is an arithmetic number, because the mean of its divisors is an integer number (12602034150615).

Almost surely, 2^{102201112122201} is an apocalyptic number.

It is an amenable number.

102201112122201 is a deficient number, since it is larger than the sum of its proper divisors (49023297685179).

102201112122201 is a wasteful number, since it uses less digits than its factorization.

102201112122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276967783576 (or 276967783573 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102201112122201 its reverse (102221211102201), we get a palindrome (204422323224402).

The spelling of 102201112122201 in words is "one hundred two trillion, two hundred one billion, one hundred twelve million, one hundred twenty-two thousand, two hundred one".