20001012012221 has 16 divisors (see below), whose sum is σ = 20179758832128. Its totient is φ = 19823024862000.

The previous prime is 20001012012199. The next prime is 20001012012271. The reversal of 20001012012221 is 12221021010002.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20001012012221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20001012012196 and 20001012012205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001012012271) 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 15 ways as a sum of consecutive naturals, for example, 85411946 + ... + 85645796.

It is an arithmetic number, because the mean of its divisors is an integer number (1261234927008).

Almost surely, 2^{20001012012221} is an apocalyptic number.

It is an amenable number.

20001012012221 is a deficient number, since it is larger than the sum of its proper divisors (178746819907).

20001012012221 is a wasteful number, since it uses less digits than its factorization.

20001012012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235472.

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

Adding to 20001012012221 its reverse (12221021010002), we get a palindrome (32222033022223).

The spelling of 20001012012221 in words is "twenty trillion, one billion, twelve million, twelve thousand, two hundred twenty-one".