10002221212001 has 8 divisors (see below), whose sum is σ = 10166544877608. Its totient is φ = 9837908928000.

The previous prime is 10002221211953. The next prime is 10002221212043. The reversal of 10002221212001 is 10021212220001.

It can be written as a sum of positive squares in 4 ways, for example, as 1059250581601 + 8942970630400 = 1029199^2 + 2990480^2 .

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 10002221212001 - 2¹⁸ = 10002220949857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002221212091) 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, 1064270 + ... + 4597511.

It is an arithmetic number, because the mean of its divisors is an integer number (1270818109701).

Almost surely, 2^{10002221212001} is an apocalyptic number.

It is an amenable number.

10002221212001 is a deficient number, since it is larger than the sum of its proper divisors (164323665607).

10002221212001 is an equidigital number, since it uses as much as digits as its factorization.

10002221212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5690803.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10002221212001 its reverse (10021212220001), we get a palindrome (20023433432002).

The spelling of 10002221212001 in words is "ten trillion, two billion, two hundred twenty-one million, two hundred twelve thousand, one".