10002121000221 has 64 divisors (see below), whose sum is σ = 15544060508160. Its totient is φ = 5602853963520.

The previous prime is 10002121000211. The next prime is 10002121000243. The reversal of 10002121000221 is 12200012120001.

It is not a de Polignac number, because 10002121000221 - 2¹⁴ = 10002120983837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10002121000197 and 10002121000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002121000211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 319960090 + ... + 319991348.

It is an arithmetic number, because the mean of its divisors is an integer number (242875945440).

Almost surely, 2^{10002121000221} is an apocalyptic number.

It is an amenable number.

10002121000221 is a deficient number, since it is larger than the sum of its proper divisors (5541939507939).

10002121000221 is a wasteful number, since it uses less digits than its factorization.

10002121000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32434.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10002121000221 its reverse (12200012120001), we get a palindrome (22202133120222).

The spelling of 10002121000221 in words is "ten trillion, two billion, one hundred twenty-one million, two hundred twenty-one", and thus it is an aban number.