10002120121201 has 6 divisors (see below), whose sum is σ = 10830698119590. Its totient is φ = 9232726265568.

The previous prime is 10002120121127. The next prime is 10002120121247. The reversal of 10002120121201 is 10212102120001.

It can be written as a sum of positive squares in 3 ways, for example, as 8523720976 + 9993596400225 = 92324^2 + 3161265^2 .

It is not a de Polignac number, because 10002120121201 - 2⁹ = 10002120120689 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 not an unprimeable number, because it can be changed into a prime (10002120121001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29592071196 + ... + 29592071533.

It is an arithmetic number, because the mean of its divisors is an integer number (1805116353265).

Almost surely, 2^{10002120121201} is an apocalyptic number.

It is an amenable number.

10002120121201 is a deficient number, since it is larger than the sum of its proper divisors (828577998389).

10002120121201 is an equidigital number, since it uses as much as digits as its factorization.

10002120121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59184142755 (or 59184142742 counting only the distinct ones).

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

Adding to 10002120121201 its reverse (10212102120001), we get a palindrome (20214222241202).

The spelling of 10002120121201 in words is "ten trillion, two billion, one hundred twenty million, one hundred twenty-one thousand, two hundred one".