100105111050221 has 2 divisors, whose sum is σ = 100105111050222. Its totient is φ = 100105111050220.

The previous prime is 100105111050059. The next prime is 100105111050281. The reversal of 100105111050221 is 122050111501001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65875461976900 + 34229649073321 = 8116370^2 + 5850611^2 .

It is a cyclic number.

It is not a de Polignac number, because 100105111050221 - 2⁴⁶ = 29736366872557 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 = 100105111050193 and 100105111050202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100105111050281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052555525110 + 50052555525111.

It is an arithmetic number, because the mean of its divisors is an integer number (50052555525111).

Almost surely, 2^{100105111050221} is an apocalyptic number.

It is an amenable number.

100105111050221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105111050221 is an equidigital number, since it uses as much as digits as its factorization.

100105111050221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 100, while the sum is 20.

Adding to 100105111050221 its reverse (122050111501001), we get a palindrome (222155222551222).

The spelling of 100105111050221 in words is "one hundred trillion, one hundred five billion, one hundred eleven million, fifty thousand, two hundred twenty-one".