10000212130001 has 16 divisors (see below), whose sum is σ = 10607148719568. Its totient is φ = 9395358105600.

The previous prime is 10000212129979. The next prime is 10000212130019. The reversal of 10000212130001 is 10003121200001.

It can be written as a sum of positive squares in 8 ways, for example, as 5800270140625 + 4199941989376 = 2408375^2 + 2049376^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000212130001 - 2⁶ = 10000212129937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000212130501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54622451 + ... + 54805223.

It is an arithmetic number, because the mean of its divisors is an integer number (662946794973).

Almost surely, 2^{10000212130001} is an apocalyptic number.

It is an amenable number.

10000212130001 is a deficient number, since it is larger than the sum of its proper divisors (606936589567).

10000212130001 is a wasteful number, since it uses less digits than its factorization.

10000212130001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188452.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10000212130001 its reverse (10003121200001), we get a palindrome (20003333330002).

The spelling of 10000212130001 in words is "ten trillion, two hundred twelve million, one hundred thirty thousand, one".