10002120212221 has 8 divisors (see below), whose sum is σ = 10005268146944. Its totient is φ = 9998972748000.

The previous prime is 10002120212209. The next prime is 10002120212239. The reversal of 10002120212221 is 12221202120001.

It is a happy number.

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 10002120212221 - 2²¹ = 10002118115069 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002120212195 and 10002120212204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002120212921) 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, 45101410 + ... + 45322636.

It is an arithmetic number, because the mean of its divisors is an integer number (1250658518368).

Almost surely, 2^{10002120212221} is an apocalyptic number.

It is an amenable number.

10002120212221 is a deficient number, since it is larger than the sum of its proper divisors (3147934723).

10002120212221 is an equidigital number, since it uses as much as digits as its factorization.

10002120212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235251.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10002120212221 its reverse (12221202120001), we get a palindrome (22223322332222).

The spelling of 10002120212221 in words is "ten trillion, two billion, one hundred twenty million, two hundred twelve thousand, two hundred twenty-one".