1001011112001 has 6 divisors (see below), whose sum is σ = 1445904939570. Its totient is φ = 667340741328.

The previous prime is 1001011111993. The next prime is 1001011112033. The reversal of 1001011112001 is 1002111101001.

It can be written as a sum of positive squares in only one way, i.e., 959067662400 + 41943449601 = 979320^2 + 204801^2 .

It is not a de Polignac number, because 1001011112001 - 2³ = 1001011111993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 111223456889 = 1001011112001 / (1 + 0 + 0 + 1 + 0 + 1 + 1 + 1 + 1 + 2 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (1001011113001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55611728436 + ... + 55611728453.

It is an arithmetic number, because the mean of its divisors is an integer number (240984156595).

Almost surely, 2^{1001011112001} is an apocalyptic number.

It is an amenable number.

1001011112001 is a deficient number, since it is larger than the sum of its proper divisors (444893827569).

1001011112001 is a wasteful number, since it uses less digits than its factorization.

1001011112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111223456895 (or 111223456892 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1001011112001 its reverse (1002111101001), we get a palindrome (2003122213002).

The spelling of 1001011112001 in words is "one trillion, one billion, eleven million, one hundred twelve thousand, one".