1001120102001 has 24 divisors (see below), whose sum is σ = 1452121430760. Its totient is φ = 664620443136.

The previous prime is 1001120101957. The next prime is 1001120102033. The reversal of 1001120102001 is 1002010211001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 430400290401 + 570719811600 = 656049^2 + 755460^2 .

It is not a de Polignac number, because 1001120102001 - 2¹⁵ = 1001120069233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1001120104001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3273835 + ... + 3566543.

It is an arithmetic number, because the mean of its divisors is an integer number (60505059615).

Almost surely, 2^{1001120102001} is an apocalyptic number.

It is an amenable number.

1001120102001 is a deficient number, since it is larger than the sum of its proper divisors (451001328759).

1001120102001 is a wasteful number, since it uses less digits than its factorization.

1001120102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294305 (or 294302 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001120102001 its reverse (1002010211001), we get a palindrome (2003130313002).

The spelling of 1001120102001 in words is "one trillion, one billion, one hundred twenty million, one hundred two thousand, one".