102212002102201 has 32 divisors (see below), whose sum is σ = 104977940594688. Its totient is φ = 99472453859520.

The previous prime is 102212002102193. The next prime is 102212002102213. The reversal of 102212002102201 is 102201200212201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102212002102201 - 2³ = 102212002102193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102212002102501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18100227760 + ... + 18100233406.

It is an arithmetic number, because the mean of its divisors is an integer number (3280560643584).

Almost surely, 2^{102212002102201} is an apocalyptic number.

It is an amenable number.

102212002102201 is a deficient number, since it is larger than the sum of its proper divisors (2765938492487).

102212002102201 is a wasteful number, since it uses less digits than its factorization.

102212002102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8701.

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

Adding to 102212002102201 its reverse (102201200212201), we get a palindrome (204413202314402).

The spelling of 102212002102201 in words is "one hundred two trillion, two hundred twelve billion, two million, one hundred two thousand, two hundred one".