1012102012001 has 2 divisors, whose sum is σ = 1012102012002. Its totient is φ = 1012102012000.

The previous prime is 1012102011937. The next prime is 1012102012057. The reversal of 1012102012001 is 1002102012101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1012038012001 + 64000000 = 1006001^2 + 8000^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012102012001 - 2⁶ = 1012102011937 is a prime.

It is not a weakly prime, because it can be changed into another prime (1012102017001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506051006000 + 506051006001.

It is an arithmetic number, because the mean of its divisors is an integer number (506051006001).

Almost surely, 2^{1012102012001} is an apocalyptic number.

It is an amenable number.

1012102012001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012102012001 is an equidigital number, since it uses as much as digits as its factorization.

1012102012001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1012102012001 its reverse (1002102012101), we get a palindrome (2014204024102).

The spelling of 1012102012001 in words is "one trillion, twelve billion, one hundred two million, twelve thousand, one".