102211203211 has 48 divisors (see below), whose sum is σ = 117407646720. Its totient is φ = 88761129600.

The previous prime is 102211203179. The next prime is 102211203217. The reversal of 102211203211 is 112302112201.

It is not a de Polignac number, because 102211203211 - 2⁵ = 102211203179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102211203217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65561250 + ... + 65562808.

It is an arithmetic number, because the mean of its divisors is an integer number (2445992640).

Almost surely, 2^102211203211 is an apocalyptic number.

102211203211 is a deficient number, since it is larger than the sum of its proper divisors (15196443509).

102211203211 is a wasteful number, since it uses less digits than its factorization.

102211203211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 102211203211 its reverse (112302112201), we get a palindrome (214513315412).

The spelling of 102211203211 in words is "one hundred two billion, two hundred eleven million, two hundred three thousand, two hundred eleven".