100220101112821 has 2 divisors, whose sum is σ = 100220101112822. Its totient is φ = 100220101112820.

The previous prime is 100220101112773. The next prime is 100220101112839. The reversal of 100220101112821 is 128211101022001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93099534416100 + 7120566696721 = 9648810^2 + 2668439^2 .

It is a cyclic number.

It is not a de Polignac number, because 100220101112821 - 2⁷ = 100220101112693 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100220101112792 and 100220101112801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100220101112851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110050556410 + 50110050556411.

It is an arithmetic number, because the mean of its divisors is an integer number (50110050556411).

Almost surely, 2^{100220101112821} is an apocalyptic number.

It is an amenable number.

100220101112821 is a deficient number, since it is larger than the sum of its proper divisors (1).

100220101112821 is an equidigital number, since it uses as much as digits as its factorization.

100220101112821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 22.

Adding to 100220101112821 its reverse (128211101022001), we get a palindrome (228431202134822).

The spelling of 100220101112821 in words is "one hundred trillion, two hundred twenty billion, one hundred one million, one hundred twelve thousand, eight hundred twenty-one".