100001002001 has 2 divisors, whose sum is σ = 100001002002. Its totient is φ = 100001002000.

The previous prime is 100001001959. The next prime is 100001002009. The reversal of 100001002001 is 100200100001.

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., 75875457025 + 24125544976 = 275455^2 + 155324^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001002001 - 2³⁰ = 98927260177 is a prime.

It is not a weakly prime, because it can be changed into another prime (100001002009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000501000 + 50000501001.

It is an arithmetic number, because the mean of its divisors is an integer number (50000501001).

Almost surely, 2^100001002001 is an apocalyptic number.

It is an amenable number.

100001002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001002001 is an equidigital number, since it uses as much as digits as its factorization.

100001002001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 100001002001 its reverse (100200100001), we get a palindrome (200201102002).

It can be divided in two parts, 10000 and 1002001, that multiplied together give a square (10020010000 = 100100²).

The spelling of 100001002001 in words is "one hundred billion, one million, two thousand, one".