102211221201201 has 24 divisors (see below), whose sum is σ = 168733241127360. Its totient is φ = 58405163839776.

The previous prime is 102211221201169. The next prime is 102211221201223. The reversal of 102211221201201 is 102102122112201.

102211221201201 is a `hidden beast` number, since 1 + 0 + 221 + 1 + 221 + 20 + 1 + 201 = 666.

It is not a de Polignac number, because 102211221201201 - 2⁵ = 102211221201169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102211222201201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14361991 + ... + 20265468.

It is an arithmetic number, because the mean of its divisors is an integer number (7030551713640).

Almost surely, 2^{102211221201201} is an apocalyptic number.

It is an amenable number.

102211221201201 is a deficient number, since it is larger than the sum of its proper divisors (66522019926159).

102211221201201 is a wasteful number, since it uses less digits than its factorization.

102211221201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34674325 (or 34674322 counting only the distinct ones).

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

Adding to 102211221201201 its reverse (102102122112201), we get a palindrome (204313343313402).

The spelling of 102211221201201 in words is "one hundred two trillion, two hundred eleven billion, two hundred twenty-one million, two hundred one thousand, two hundred one".