1002110112001 has 2 divisors, whose sum is σ = 1002110112002. Its totient is φ = 1002110112000.

The previous prime is 1002110111963. The next prime is 1002110112049.

1002110112001 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 897185945601 + 104924166400 = 947199^2 + 323920^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 1002110112001 - 2¹⁵ = 1002110079233 is a prime.

It is not a weakly prime, because it can be changed into another prime (1002110118001) 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 as a sum of consecutive naturals, namely, 501055056000 + 501055056001.

It is an arithmetic number, because the mean of its divisors is an integer number (501055056001).

Almost surely, 2^{1002110112001} is an apocalyptic number.

It is an amenable number.

1002110112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002110112001 is an equidigital number, since it uses as much as digits as its factorization.

1002110112001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 1002110 and 112001, that added together give a palindrome (1114111).

The spelling of 1002110112001 in words is "one trillion, two billion, one hundred ten million, one hundred twelve thousand, one".