2120012010221 has 48 divisors (see below), whose sum is σ = 2586209472000. Its totient is φ = 1729479451392.

The previous prime is 2120012010191. The next prime is 2120012010241. The reversal of 2120012010221 is 1220102100212.

It is not a de Polignac number, because 2120012010221 - 2¹⁸ = 2120011748077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2120012010196 and 2120012010205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120012010241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 456012305 + ... + 456016953.

It is an arithmetic number, because the mean of its divisors is an integer number (53879364000).

Almost surely, 2^{2120012010221} is an apocalyptic number.

It is an amenable number.

2120012010221 is a deficient number, since it is larger than the sum of its proper divisors (466197461779).

2120012010221 is a wasteful number, since it uses less digits than its factorization.

2120012010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6618 (or 6611 counting only the distinct ones).

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

Adding to 2120012010221 its reverse (1220102100212), we get a palindrome (3340114110433).

It can be divided in two parts, 212001 and 2010221, that added together give a palindrome (2222222).

The spelling of 2120012010221 in words is "two trillion, one hundred twenty billion, twelve million, ten thousand, two hundred twenty-one".