20101121012221 has 8 divisors (see below), whose sum is σ = 20350765848888. Its totient is φ = 19852468800000.

The previous prime is 20101121012213. The next prime is 20101121012261. The reversal of 20101121012221 is 12221012110102.

It can be written as a sum of positive squares in 4 ways, for example, as 18606886144900 + 1494234867321 = 4313570^2 + 1222389^2 .

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 20101121012221 - 2³ = 20101121012213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20101121012195 and 20101121012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101121012261) 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, 248115360 + ... + 248196361.

It is an arithmetic number, because the mean of its divisors is an integer number (2543845731111).

Almost surely, 2^{20101121012221} is an apocalyptic number.

It is an amenable number.

20101121012221 is a deficient number, since it is larger than the sum of its proper divisors (249644836667).

20101121012221 is a wasteful number, since it uses less digits than its factorization.

20101121012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496312223.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 20101121012221 its reverse (12221012110102), we get a palindrome (32322133122323).

The spelling of 20101121012221 in words is "twenty trillion, one hundred one billion, one hundred twenty-one million, twelve thousand, two hundred twenty-one".