102210121211221 has 8 divisors (see below), whose sum is σ = 104144763569688. Its totient is φ = 100283835840000.

The previous prime is 102210121211179. The next prime is 102210121211243. The reversal of 102210121211221 is 122112121012201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1398199827025 + 100811921384196 = 1182455^2 + 10040514^2 .

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 102210121211221 - 2¹⁵ = 102210121178453 is a prime.

It is a super-3 number, since 3×102210121211221³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210121211291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2089222120 + ... + 2089271041.

It is an arithmetic number, because the mean of its divisors is an integer number (13018095446211).

Almost surely, 2^{102210121211221} is an apocalyptic number.

It is an amenable number.

102210121211221 is a deficient number, since it is larger than the sum of its proper divisors (1934642358467).

102210121211221 is an equidigital number, since it uses as much as digits as its factorization.

102210121211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4178493623.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 102210121211221 its reverse (122112121012201), we get a palindrome (224322242223422).

The spelling of 102210121211221 in words is "one hundred two trillion, two hundred ten billion, one hundred twenty-one million, two hundred eleven thousand, two hundred twenty-one".