1001031112001 has 2 divisors, whose sum is σ = 1001031112002. Its totient is φ = 1001031112000.

The previous prime is 1001031111989. The next prime is 1001031112009. The reversal of 1001031112001 is 1002111301001.

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., 544053760000 + 456977352001 = 737600^2 + 676001^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001031112001 - 2⁶ = 1001031111937 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001031112009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500515556000 + 500515556001.

It is an arithmetic number, because the mean of its divisors is an integer number (500515556001).

Almost surely, 2^{1001031112001} is an apocalyptic number.

It is an amenable number.

1001031112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001031112001 is an equidigital number, since it uses as much as digits as its factorization.

1001031112001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1001031112001 its reverse (1002111301001), we get a palindrome (2003142413002).

The spelling of 1001031112001 in words is "one trillion, one billion, thirty-one million, one hundred twelve thousand, one".