102211102212201 has 48 divisors (see below), whose sum is σ = 155515113062400. Its totient is φ = 64510189472736.

The previous prime is 102211102212199. The next prime is 102211102212209. The reversal of 102211102212201 is 102212201112201.

102211102212201 is a `hidden beast` number, since 1 + 0 + 2 + 211 + 10 + 221 + 220 + 1 = 666.

It is not a de Polignac number, because 102211102212201 - 2¹ = 102211102212199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102211102212209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1731686976 + ... + 1731745998.

It is an arithmetic number, because the mean of its divisors is an integer number (3239898188800).

Almost surely, 2^{102211102212201} is an apocalyptic number.

It is an amenable number.

102211102212201 is a deficient number, since it is larger than the sum of its proper divisors (53304010850199).

102211102212201 is a wasteful number, since it uses less digits than its factorization.

102211102212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65810 (or 65807 counting only the distinct ones).

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

Adding to 102211102212201 its reverse (102212201112201), we get a palindrome (204423303324402).

The spelling of 102211102212201 in words is "one hundred two trillion, two hundred eleven billion, one hundred two million, two hundred twelve thousand, two hundred one".