10000202002121 has 4 divisors (see below), whose sum is σ = 10000313204244. Its totient is φ = 10000090800000.

The previous prime is 10000202002099. The next prime is 10000202002127. The reversal of 10000202002121 is 12120020200001.

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 9052811246521 + 947390755600 = 3008789^2 + 973340^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000202002121 - 2¹⁴ = 10000201985737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000202002127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55466060 + ... + 55646061.

It is an arithmetic number, because the mean of its divisors is an integer number (2500078301061).

Almost surely, 2^{10000202002121} is an apocalyptic number.

It is an amenable number.

10000202002121 is a deficient number, since it is larger than the sum of its proper divisors (111202123).

10000202002121 is an equidigital number, since it uses as much as digits as its factorization.

10000202002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111202122.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10000202002121 its reverse (12120020200001), we get a palindrome (22120222202122).

The spelling of 10000202002121 in words is "ten trillion, two hundred two million, two thousand, one hundred twenty-one".