10012120001221 has 8 divisors (see below), whose sum is σ = 10782308926424. Its totient is φ = 9241934768640.

The previous prime is 10012120001189. The next prime is 10012120001237. The reversal of 10012120001221 is 12210002121001.

It can be written as a sum of positive squares in 4 ways, for example, as 1365497417025 + 8646622584196 = 1168545^2 + 2940514^2 .

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 10012120001221 - 2⁵ = 10012120001189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012120001321) 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, 7672585 + ... + 8882161.

It is an arithmetic number, because the mean of its divisors is an integer number (1347788615803).

Almost surely, 2^{10012120001221} is an apocalyptic number.

It is an amenable number.

10012120001221 is a deficient number, since it is larger than the sum of its proper divisors (770188925203).

10012120001221 is a wasteful number, since it uses less digits than its factorization.

10012120001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846311.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10012120001221 its reverse (12210002121001), we get a palindrome (22222122122222).

The spelling of 10012120001221 in words is "ten trillion, twelve billion, one hundred twenty million, one thousand, two hundred twenty-one".