10002002202121 has 4 divisors (see below), whose sum is σ = 10590355272852. Its totient is φ = 9413649131392.

The previous prime is 10002002202007. The next prime is 10002002202193. The reversal of 10002002202121 is 12120220020001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 8242296483600 + 1759705718521 = 2870940^2 + 1326539^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002002202121 - 2¹³ = 10002002193929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002002202221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 294176535340 + ... + 294176535373.

It is an arithmetic number, because the mean of its divisors is an integer number (2647588818213).

Almost surely, 2^{10002002202121} is an apocalyptic number.

It is an amenable number.

10002002202121 is a deficient number, since it is larger than the sum of its proper divisors (588353070731).

10002002202121 is an equidigital number, since it uses as much as digits as its factorization.

10002002202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588353070730.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10002002202121 its reverse (12120220020001), we get a palindrome (22122222222122).

The spelling of 10002002202121 in words is "ten trillion, two billion, two million, two hundred two thousand, one hundred twenty-one".