2100000033221 has 8 divisors (see below), whose sum is σ = 2172430222200. Its totient is φ = 2027570937280.

The previous prime is 2100000033191. The next prime is 2100000033319. The reversal of 2100000033221 is 1223300000012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1657128417025 + 442871616196 = 1287295^2 + 665486^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2100000033221 - 2¹⁰ = 2100000032197 is a prime.

It is a super-2 number, since 2×2100000033221² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100000033196 and 2100000033205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100000030221) 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, 6388475 + ... + 6709143.

It is an arithmetic number, because the mean of its divisors is an integer number (271553777775).

Almost surely, 2^{2100000033221} is an apocalyptic number.

It is an amenable number.

2100000033221 is a deficient number, since it is larger than the sum of its proper divisors (72430188979).

2100000033221 is a wasteful number, since it uses less digits than its factorization.

2100000033221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546519.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 2100000033221 its reverse (1223300000012), we get a palindrome (3323300033233).

The spelling of 2100000033221 in words is "two trillion, one hundred billion, thirty-three thousand, two hundred twenty-one".