2102121010221 has 8 divisors (see below), whose sum is σ = 2802841738080. Its totient is φ = 1401407144592.

The previous prime is 2102121010219. The next prime is 2102121010259. The reversal of 2102121010221 is 1220101212012.

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

It is not a de Polignac number, because 2102121010221 - 2¹ = 2102121010219 is a prime.

It is a super-2 number, since 2×2102121010221² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2102121010221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102121010261) 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 7 ways as a sum of consecutive naturals, for example, 952266 + ... + 2260763.

It is an arithmetic number, because the mean of its divisors is an integer number (350355217260).

Almost surely, 2^{2102121010221} is an apocalyptic number.

It is an amenable number.

2102121010221 is a deficient number, since it is larger than the sum of its proper divisors (700720727859).

2102121010221 is a wasteful number, since it uses less digits than its factorization.

2102121010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431115.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2102121010221 its reverse (1220101212012), we get a palindrome (3322222222233).

The spelling of 2102121010221 in words is "two trillion, one hundred two billion, one hundred twenty-one million, ten thousand, two hundred twenty-one".