102210102211221 has 24 divisors (see below), whose sum is σ = 147726206559360. Its totient is φ = 68098822461216.

The previous prime is 102210102211181. The next prime is 102210102211253. The reversal of 102210102211221 is 122112201012201.

102210102211221 is a `hidden beast` number, since 1 + 0 + 2 + 210 + 10 + 221 + 1 + 221 = 666.

It is not a de Polignac number, because 102210102211221 - 2⁶ = 102210102211157 is a prime.

It is a super-3 number, since 3×102210102211221³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102210102211194 and 102210102211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210102211291) 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, 100002115 + ... + 101019023.

It is an arithmetic number, because the mean of its divisors is an integer number (6155258606640).

Almost surely, 2^{102210102211221} is an apocalyptic number.

It is an amenable number.

102210102211221 is a deficient number, since it is larger than the sum of its proper divisors (45516104348139).

102210102211221 is a wasteful number, since it uses less digits than its factorization.

102210102211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023665 (or 1023662 counting only the distinct ones).

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

Adding to 102210102211221 its reverse (122112201012201), we get a palindrome (224322303223422).

The spelling of 102210102211221 in words is "one hundred two trillion, two hundred ten billion, one hundred two million, two hundred eleven thousand, two hundred twenty-one".