100101202332221 has 2 divisors, whose sum is σ = 100101202332222. Its totient is φ = 100101202332220.

The previous prime is 100101202332191. The next prime is 100101202332259. The reversal of 100101202332221 is 122233202101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92871094411225 + 7230107920996 = 9636965^2 + 2688886^2 .

It is an emirp because it is prime and its reverse (122233202101001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100101202332221 - 2¹⁰ = 100101202331197 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100101202332193 and 100101202332202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101202332281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050601166110 + 50050601166111.

It is an arithmetic number, because the mean of its divisors is an integer number (50050601166111).

Almost surely, 2^{100101202332221} is an apocalyptic number.

It is an amenable number.

100101202332221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101202332221 is an equidigital number, since it uses as much as digits as its factorization.

100101202332221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 100101202332221 its reverse (122233202101001), we get a palindrome (222334404433222).

The spelling of 100101202332221 in words is "one hundred trillion, one hundred one billion, two hundred two million, three hundred thirty-two thousand, two hundred twenty-one".