102212101102221 has 24 divisors (see below), whose sum is σ = 161243895380256. Its totient is φ = 61876573043040.

The previous prime is 102212101102217. The next prime is 102212101102277. The reversal of 102212101102221 is 122201101212201.

102212101102221 is a `hidden beast` number, since 1 + 0 + 221 + 210 + 1 + 10 + 2 + 221 = 666.

It is not a de Polignac number, because 102212101102221 - 2² = 102212101102217 is a prime.

It is a super-2 number, since 2×102212101102221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102212101102194 and 102212101102203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212101102121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 584536290 + ... + 584711123.

It is an arithmetic number, because the mean of its divisors is an integer number (6718495640844).

Almost surely, 2^{102212101102221} is an apocalyptic number.

102212101102221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102212101102221 is a deficient number, since it is larger than the sum of its proper divisors (59031794278035).

102212101102221 is a wasteful number, since it uses less digits than its factorization.

102212101102221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169248313 (or 1169248310 counting only the distinct ones).

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

Adding to 102212101102221 its reverse (122201101212201), we get a palindrome (224413202314422).

The spelling of 102212101102221 in words is "one hundred two trillion, two hundred twelve billion, one hundred one million, one hundred two thousand, two hundred twenty-one".