1001030110001 has 6 divisors (see below), whose sum is σ = 1034363059506. Its totient is φ = 968738815200.

The previous prime is 1001030109991. The next prime is 1001030110033. The reversal of 1001030110001 is 1000110301001.

It can be written as a sum of positive squares in only one way, i.e., 761247525025 + 239782584976 = 872495^2 + 489676^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1001030110001 is a prime.

It is a super-2 number, since 2×1001030110001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001030110501) 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 in 5 ways as a sum of consecutive naturals, for example, 520826360 + ... + 520828281.

It is an arithmetic number, because the mean of its divisors is an integer number (172393843251).

Almost surely, 2^{1001030110001} is an apocalyptic number.

It is an amenable number.

1001030110001 is a deficient number, since it is larger than the sum of its proper divisors (33332949505).

1001030110001 is an equidigital number, since it uses as much as digits as its factorization.

1001030110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041654703 (or 1041654672 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 1001030110001 its reverse (1000110301001), we get a palindrome (2001140411002).

The spelling of 1001030110001 in words is "one trillion, one billion, thirty million, one hundred ten thousand, one".