10012012220321 has 8 divisors (see below), whose sum is σ = 10613589356160. Its totient is φ = 9411839000128.

The previous prime is 10012012220299. The next prime is 10012012220363. The reversal of 10012012220321 is 12302221021001.

10012012220321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10012012220321 - 2¹⁸ = 10012011958177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10012012220321.

It is not an unprimeable number, because it can be changed into a prime (10012012220521) 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, 350964221 + ... + 350992746.

It is an arithmetic number, because the mean of its divisors is an integer number (1326698669520).

Almost surely, 2^{10012012220321} is an apocalyptic number.

It is an amenable number.

10012012220321 is a deficient number, since it is larger than the sum of its proper divisors (601577135839).

10012012220321 is an equidigital number, since it uses as much as digits as its factorization.

10012012220321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701957823.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10012012220321 its reverse (12302221021001), we get a palindrome (22314233241322).

The spelling of 10012012220321 in words is "ten trillion, twelve billion, twelve million, two hundred twenty thousand, three hundred twenty-one".