102210120101221 has 8 divisors (see below), whose sum is σ = 111535423257888. Its totient is φ = 92890395954000.

The previous prime is 102210120101161. The next prime is 102210120101333. The reversal of 102210120101221 is 122101021012201.

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 102210120101221 - 2⁷ = 102210120101093 is a prime.

It is a super-3 number, since 3×102210120101221³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102210120101195 and 102210120101204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210120108221) 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, 1394714050 + ... + 1394787331.

It is an arithmetic number, because the mean of its divisors is an integer number (13941927907236).

Almost surely, 2^{102210120101221} is an apocalyptic number.

102210120101221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102210120101221 is a deficient number, since it is larger than the sum of its proper divisors (9325303156667).

102210120101221 is a wasteful number, since it uses less digits than its factorization.

102210120101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789504723.

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

Adding to 102210120101221 its reverse (122101021012201), we get a palindrome (224311141113422).

The spelling of 102210120101221 in words is "one hundred two trillion, two hundred ten billion, one hundred twenty million, one hundred one thousand, two hundred twenty-one".