100100122021 has 2 divisors, whose sum is σ = 100100122022. Its totient is φ = 100100122020.

The previous prime is 100100122009. The next prime is 100100122081. The reversal of 100100122021 is 120221001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100100100996 + 21025 = 316386^2 + 145^2 .

It is an emirp because it is prime and its reverse (120221001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100100122021 - 2³¹ = 97952638373 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100100121989 and 100100122007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100122081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050061010 + 50050061011.

It is an arithmetic number, because the mean of its divisors is an integer number (50050061011).

Almost surely, 2^100100122021 is an apocalyptic number.

It is an amenable number.

100100122021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100122021 is an equidigital number, since it uses as much as digits as its factorization.

100100122021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100100122021 its reverse (120221001001), we get a palindrome (220321123022).

The spelling of 100100122021 in words is "one hundred billion, one hundred million, one hundred twenty-two thousand, twenty-one".