102201221012211 has 48 divisors (see below), whose sum is σ = 154435377425472. Its totient is φ = 65005560576000.

The previous prime is 102201221012203. The next prime is 102201221012239. The reversal of 102201221012211 is 112210122102201.

102201221012211 is a `hidden beast` number, since 1 + 0 + 220 + 1 + 221 + 0 + 1 + 221 + 1 = 666.

It is not a de Polignac number, because 102201221012211 - 2³ = 102201221012203 is a prime.

It is a super-2 number, since 2×102201221012211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102201221012201) 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 47 ways as a sum of consecutive naturals, for example, 2780135071 + ... + 2780171831.

It is an arithmetic number, because the mean of its divisors is an integer number (3217403696364).

Almost surely, 2^{102201221012211} is an apocalyptic number.

102201221012211 is a deficient number, since it is larger than the sum of its proper divisors (52234156413261).

102201221012211 is a wasteful number, since it uses less digits than its factorization.

102201221012211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70684 (or 70681 counting only the distinct ones).

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

Adding to 102201221012211 its reverse (112210122102201), we get a palindrome (214411343114412).

The spelling of 102201221012211 in words is "one hundred two trillion, two hundred one billion, two hundred twenty-one million, twelve thousand, two hundred eleven".