20002100212121 has 8 divisors (see below), whose sum is σ = 20023397034120. Its totient is φ = 19980804038272.

The previous prime is 20002100212099. The next prime is 20002100212153. The reversal of 20002100212121 is 12121200120002.

It can be written as a sum of positive squares in 4 ways, for example, as 834655824025 + 19167444388096 = 913595^2 + 4378064^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20002100212121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20002100212096 and 20002100212105.

It is not an unprimeable number, because it can be changed into a prime (20002100812121) 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, 85703975 + ... + 85937043.

It is an arithmetic number, because the mean of its divisors is an integer number (2502924629265).

Almost surely, 2^{20002100212121} is an apocalyptic number.

It is an amenable number.

20002100212121 is a deficient number, since it is larger than the sum of its proper divisors (21296821999).

20002100212121 is an equidigital number, since it uses as much as digits as its factorization.

20002100212121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324075.

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

Adding to 20002100212121 its reverse (12121200120002), we get a palindrome (32123300332123).

The spelling of 20002100212121 in words is "twenty trillion, two billion, one hundred million, two hundred twelve thousand, one hundred twenty-one".