102211112012211 has 32 divisors (see below), whose sum is σ = 159470587584000. Its totient is φ = 64523185097184.

The previous prime is 102211112012171. The next prime is 102211112012213. The reversal of 102211112012211 is 112210211112201.

It is a happy number.

102211112012211 is a `hidden beast` number, since 10 + 221 + 1 + 11 + 201 + 221 + 1 = 666.

It is not a de Polignac number, because 102211112012211 - 2¹⁰ = 102211112011187 is a prime.

It is a super-2 number, since 2×102211112012211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102211112012213) 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 31 ways as a sum of consecutive naturals, for example, 47087935 + ... + 49210728.

It is an arithmetic number, because the mean of its divisors is an integer number (4983455862000).

Almost surely, 2^{102211112012211} is an apocalyptic number.

102211112012211 is a deficient number, since it is larger than the sum of its proper divisors (57259475571789).

102211112012211 is a wasteful number, since it uses less digits than its factorization.

102211112012211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96300760 (or 96300754 counting only the distinct ones).

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

Adding to 102211112012211 its reverse (112210211112201), we get a palindrome (214421323124412).

The spelling of 102211112012211 in words is "one hundred two trillion, two hundred eleven billion, one hundred twelve million, twelve thousand, two hundred eleven".