102211220112111 has 32 divisors (see below), whose sum is σ = 165190418864640. Its totient is φ = 61945980940800.

The previous prime is 102211220112097. The next prime is 102211220112151. The reversal of 102211220112111 is 111211022112201.

It is a happy number.

102211220112111 is a `hidden beast` number, since 1 + 0 + 221 + 1 + 220 + 11 + 211 + 1 = 666.

It is not a de Polignac number, because 102211220112111 - 2⁷ = 102211220111983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211220112151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152166366 + ... + 152836596.

It is an arithmetic number, because the mean of its divisors is an integer number (5162200589520).

Almost surely, 2^{102211220112111} is an apocalyptic number.

102211220112111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102211220112111 is a deficient number, since it is larger than the sum of its proper divisors (62979198752529).

102211220112111 is a wasteful number, since it uses less digits than its factorization.

102211220112111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183724 (or 1183718 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 102211220112111 its reverse (111211022112201), we get a palindrome (213422242224312).

The spelling of 102211220112111 in words is "one hundred two trillion, two hundred eleven billion, two hundred twenty million, one hundred twelve thousand, one hundred eleven".