100220210002001 has 2 divisors, whose sum is σ = 100220210002002. Its totient is φ = 100220210002000.

The previous prime is 100220210001911. The next prime is 100220210002007. The reversal of 100220210002001 is 100200012022001.

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., 99544040934976 + 676169067025 = 9977176^2 + 822295^2 .

It is a cyclic number.

It is not a de Polignac number, because 100220210002001 - 2¹⁸ = 100220209739857 is a prime.

It is a super-3 number, since 3×100220210002001³ (a number of 43 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100220210002007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110105001000 + 50110105001001.

It is an arithmetic number, because the mean of its divisors is an integer number (50110105001001).

Almost surely, 2^{100220210002001} is an apocalyptic number.

It is an amenable number.

100220210002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100220210002001 is an equidigital number, since it uses as much as digits as its factorization.

100220210002001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100220210002001 its reverse (100200012022001), we get a palindrome (200420222024002).

The spelling of 100220210002001 in words is "one hundred trillion, two hundred twenty billion, two hundred ten million, two thousand, one".