100101011102221 has 2 divisors, whose sum is σ = 100101011102222. Its totient is φ = 100101011102220.

The previous prime is 100101011102219. The next prime is 100101011102273. The reversal of 100101011102221 is 122201110101001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72639585768996 + 27461425333225 = 8522886^2 + 5240365^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101011102221 - 2¹ = 100101011102219 is a prime.

It is a super-2 number, since 2×100101011102221² (a number of 29 digits) contains 22 as substring.

Together with 100101011102219, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101011103221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050505551110 + 50050505551111.

It is an arithmetic number, because the mean of its divisors is an integer number (50050505551111).

Almost surely, 2^{100101011102221} is an apocalyptic number.

It is an amenable number.

100101011102221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101011102221 is an equidigital number, since it uses as much as digits as its factorization.

100101011102221 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 13.

Adding to 100101011102221 its reverse (122201110101001), we get a palindrome (222302121203222).

The spelling of 100101011102221 in words is "one hundred trillion, one hundred one billion, eleven million, one hundred two thousand, two hundred twenty-one".