100001122021 has 2 divisors, whose sum is σ = 100001122022. Its totient is φ = 100001122020.

The previous prime is 100001122003. The next prime is 100001122049. The reversal of 100001122021 is 120221100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99991293796 + 9828225 = 316214^2 + 3135^2 .

It is an emirp because it is prime and its reverse (120221100001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100001122021 - 2¹¹ = 100001119973 is a prime.

It is a super-2 number, since 2×100001122021² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100001121989 and 100001122007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100001122121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000561010 + 50000561011.

It is an arithmetic number, because the mean of its divisors is an integer number (50000561011).

Almost surely, 2^100001122021 is an apocalyptic number.

It is an amenable number.

100001122021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001122021 is an equidigital number, since it uses as much as digits as its factorization.

100001122021 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 100001122021 its reverse (120221100001), we get a palindrome (220222222022).

The spelling of 100001122021 in words is "one hundred billion, one million, one hundred twenty-two thousand, twenty-one".