1002106012001 has 2 divisors, whose sum is σ = 1002106012002. Its totient is φ = 1002106012000.

The previous prime is 1002106011989. The next prime is 1002106012013.

1002106012001 is nontrivially palindromic in base 10.

It is a balanced prime because it is at equal distance from previous prime (1002106011989) and next prime (1002106012013).

It can be written as a sum of positive squares in only one way, i.e., 943959923776 + 58146088225 = 971576^2 + 241135^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 1002106012001 - 2⁶ = 1002106011937 is a prime.

It is not a weakly prime, because it can be changed into another prime (1002106012021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501053006000 + 501053006001.

It is an arithmetic number, because the mean of its divisors is an integer number (501053006001).

Almost surely, 2^{1002106012001} is an apocalyptic number.

It is an amenable number.

1002106012001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002106012001 is an equidigital number, since it uses as much as digits as its factorization.

1002106012001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

The spelling of 1002106012001 in words is "one trillion, two billion, one hundred six million, twelve thousand, one".