102211121221 has 8 divisors (see below), whose sum is σ = 111507053184. Its totient is φ = 92915857920.

The previous prime is 102211121197. The next prime is 102211121231. The reversal of 102211121221 is 122121112201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102211121221 - 2⁵ = 102211121189 is a prime.

It is a super-2 number, since 2×102211121221² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102211121195 and 102211121204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211121231) 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 7 ways as a sum of consecutive naturals, for example, 184660 + ... + 488386.

It is an arithmetic number, because the mean of its divisors is an integer number (13938381648).

Almost surely, 2^102211121221 is an apocalyptic number.

102211121221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102211121221 is a deficient number, since it is larger than the sum of its proper divisors (9295931963).

102211121221 is a wasteful number, since it uses less digits than its factorization.

102211121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334331.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102211121221 its reverse (122121112201), we get a palindrome (224332233422).

The spelling of 102211121221 in words is "one hundred two billion, two hundred eleven million, one hundred twenty-one thousand, two hundred twenty-one".