1001012012101 has 2 divisors, whose sum is σ = 1001012012102. Its totient is φ = 1001012012100.

The previous prime is 1001012012071. The next prime is 1001012012123. The reversal of 1001012012101 is 1012102101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 894443062500 + 106568949601 = 945750^2 + 326449^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001012012101 - 2²⁹ = 1000475141189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001012012701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500506006050 + 500506006051.

It is an arithmetic number, because the mean of its divisors is an integer number (500506006051).

Almost surely, 2^{1001012012101} is an apocalyptic number.

It is an amenable number.

1001012012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001012012101 is an equidigital number, since it uses as much as digits as its factorization.

1001012012101 is an evil number, because the sum of its binary digits is even.

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

Adding to 1001012012101 its reverse (1012102101001), we get a palindrome (2013114113102).

The spelling of 1001012012101 in words is "one trillion, one billion, twelve million, twelve thousand, one hundred one".