100221210110221 has 8 divisors (see below), whose sum is σ = 100859837734040. Its totient is φ = 99582585979968.

The previous prime is 100221210110209. The next prime is 100221210110291. The reversal of 100221210110221 is 122011012122001.

It can be written as a sum of positive squares in 4 ways, for example, as 24392189934025 + 75829020176196 = 4938845^2 + 8707986^2 .

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 100221210110221 - 2⁷ = 100221210110093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100221210110195 and 100221210110204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221210110291) 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, 81139615 + ... + 82365523.

It is an arithmetic number, because the mean of its divisors is an integer number (12607479716755).

Almost surely, 2^{100221210110221} is an apocalyptic number.

It is an amenable number.

100221210110221 is a deficient number, since it is larger than the sum of its proper divisors (638627623819).

100221210110221 is a wasteful number, since it uses less digits than its factorization.

100221210110221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746783.

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

Adding to 100221210110221 its reverse (122011012122001), we get a palindrome (222232222232222).

The spelling of 100221210110221 in words is "one hundred trillion, two hundred twenty-one billion, two hundred ten million, one hundred ten thousand, two hundred twenty-one".