2100010010221 has 4 divisors (see below), whose sum is σ = 2100136282492. Its totient is φ = 2099883737952.

The previous prime is 2100010010213. The next prime is 2100010010233. The reversal of 2100010010221 is 1220100100012.

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 366545484900 + 1733464525321 = 605430^2 + 1316611^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100010010221 - 2³ = 2100010010213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100010010198 and 2100010010207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100010020221) 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, 63111186 + ... + 63144451.

It is an arithmetic number, because the mean of its divisors is an integer number (525034070623).

Almost surely, 2^{2100010010221} is an apocalyptic number.

It is an amenable number.

2100010010221 is a deficient number, since it is larger than the sum of its proper divisors (126272271).

2100010010221 is a wasteful number, since it uses less digits than its factorization.

2100010010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126272270.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2100010010221 its reverse (1220100100012), we get a palindrome (3320110110233).

The spelling of 2100010010221 in words is "two trillion, one hundred billion, ten million, ten thousand, two hundred twenty-one".