102210313311211 has 32 divisors (see below), whose sum is σ = 121160732999040. Its totient is φ = 84394234368000.

The previous prime is 102210313311181. The next prime is 102210313311221. The reversal of 102210313311211 is 112113313012201.

It is a cyclic number.

It is not a de Polignac number, because 102210313311211 - 2¹³ = 102210313303019 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102210313311221) 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 31 ways as a sum of consecutive naturals, for example, 1202983771 + ... + 1203068731.

It is an arithmetic number, because the mean of its divisors is an integer number (3786272906220).

Almost surely, 2^{102210313311211} is an apocalyptic number.

102210313311211 is a deficient number, since it is larger than the sum of its proper divisors (18950419687829).

102210313311211 is a wasteful number, since it uses less digits than its factorization.

102210313311211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131095.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 102210313311211 its reverse (112113313012201), we get a palindrome (214323626323412).

The spelling of 102210313311211 in words is "one hundred two trillion, two hundred ten billion, three hundred thirteen million, three hundred eleven thousand, two hundred eleven".