100101102221 has 2 divisors, whose sum is σ = 100101102222. Its totient is φ = 100101102220.

The previous prime is 100101102169. The next prime is 100101102229. The reversal of 100101102221 is 122201101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80131455625 + 19969646596 = 283075^2 + 141314^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101102221 - 2¹⁰ = 100101101197 is a prime.

It is a super-2 number, since 2×100101102221² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101102229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050551110 + 50050551111.

It is an arithmetic number, because the mean of its divisors is an integer number (50050551111).

Almost surely, 2^100101102221 is an apocalyptic number.

It is an amenable number.

100101102221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101102221 is an equidigital number, since it uses as much as digits as its factorization.

100101102221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100101102221 its reverse (122201101001), we get a palindrome (222302203222).

The spelling of 100101102221 in words is "one hundred billion, one hundred one million, one hundred two thousand, two hundred twenty-one".