20100120221221 has 8 divisors (see below), whose sum is σ = 21631373353944. Its totient is φ = 18607632990720.

The previous prime is 20100120221197. The next prime is 20100120221227. The reversal of 20100120221221 is 12212202100102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1940922648900 + 18159197572321 = 1393170^2 + 4261361^2 .

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 20100120221221 - 2⁵ = 20100120221189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20100120221195 and 20100120221204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100120221227) 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, 9691474480 + ... + 9691476553.

It is an arithmetic number, because the mean of its divisors is an integer number (2703921669243).

Almost surely, 2^{20100120221221} is an apocalyptic number.

It is an amenable number.

20100120221221 is a deficient number, since it is larger than the sum of its proper divisors (1531253132723).

20100120221221 is a wasteful number, since it uses less digits than its factorization.

20100120221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19382951111.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20100120221221 its reverse (12212202100102), we get a palindrome (32312322321323).

The spelling of 20100120221221 in words is "twenty trillion, one hundred billion, one hundred twenty million, two hundred twenty-one thousand, two hundred twenty-one".