102001020001 has 2 divisors, whose sum is σ = 102001020002. Its totient is φ = 102001020000.

The previous prime is 102001019999. The next prime is 102001020029. The reversal of 102001020001 is 100020100201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90374789376 + 11626230625 = 300624^2 + 107825^2 .

It is a cyclic number.

It is not a de Polignac number, because 102001020001 - 2¹ = 102001019999 is a prime.

Together with 102001019999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (102001020301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000510000 + 51000510001.

It is an arithmetic number, because the mean of its divisors is an integer number (51000510001).

Almost surely, 2^102001020001 is an apocalyptic number.

It is an amenable number.

102001020001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102001020001 is an equidigital number, since it uses as much as digits as its factorization.

102001020001 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 102001020001 its reverse (100020100201), we get a palindrome (202021120202).

The spelling of 102001020001 in words is "one hundred two billion, one million, twenty thousand, one".