101002020001 has 2 divisors, whose sum is σ = 101002020002. Its totient is φ = 101002020000.

The previous prime is 101002019999. The next prime is 101002020011. The reversal of 101002020001 is 100020200101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85638169600 + 15363850401 = 292640^2 + 123951^2 .

It is a cyclic number.

It is not a de Polignac number, because 101002020001 - 2¹ = 101002019999 is a prime.

Together with 101002019999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101002020011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50501010000 + 50501010001.

It is an arithmetic number, because the mean of its divisors is an integer number (50501010001).

Almost surely, 2^101002020001 is an apocalyptic number.

It is an amenable number.

101002020001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101002020001 is an equidigital number, since it uses as much as digits as its factorization.

101002020001 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 101002020001 its reverse (100020200101), we get a palindrome (201022220102).

The spelling of 101002020001 in words is "one hundred one billion, two million, twenty thousand, one".