101001001002001 has 2 divisors, whose sum is σ = 101001001002002. Its totient is φ = 101001001002000.

The previous prime is 101001001001947. The next prime is 101001001002023. The reversal of 101001001002001 is 100200100100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100224926337600 + 776074664401 = 10011240^2 + 880951^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001001002001 - 2⁹ = 101001001001489 is a prime.

It is not a weakly prime, because it can be changed into another prime (101001001002701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500500501000 + 50500500501001.

It is an arithmetic number, because the mean of its divisors is an integer number (50500500501001).

Almost surely, 2^{101001001002001} is an apocalyptic number.

It is an amenable number.

101001001002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001001002001 is an equidigital number, since it uses as much as digits as its factorization.

101001001002001 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 7.

Adding to 101001001002001 its reverse (100200100100101), we get a palindrome (201201101102102).

The spelling of 101001001002001 in words is "one hundred one trillion, one billion, one million, two thousand, one".