20021000101 has 2 divisors, whose sum is σ = 20021000102. Its totient is φ = 20021000100.

The previous prime is 20021000047. The next prime is 20021000117. The reversal of 20021000101 is 10100012002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11358230625 + 8662769476 = 106575^2 + 93074^2 .

It is a cyclic number.

It is not a de Polignac number, because 20021000101 - 2¹⁵ = 20020967333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20021000161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10010500050 + 10010500051.

It is an arithmetic number, because the mean of its divisors is an integer number (10010500051).

Almost surely, 2^20021000101 is an apocalyptic number.

It is an amenable number.

20021000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20021000101 is an equidigital number, since it uses as much as digits as its factorization.

20021000101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 20021000101 its reverse (10100012002), we get a palindrome (30121012103).

The spelling of 20021000101 in words is "twenty billion, twenty-one million, one hundred one", and thus it is an aban number.