1002101010041 has 2 divisors, whose sum is σ = 1002101010042. Its totient is φ = 1002101010040.

The previous prime is 1002101010007. The next prime is 1002101010049. The reversal of 1002101010041 is 1400101012001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 907608709225 + 94492300816 = 952685^2 + 307396^2 .

It is an emirp because it is prime and its reverse (1400101012001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1002101010041 - 2⁶ = 1002101009977 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1002101010049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501050505020 + 501050505021.

It is an arithmetic number, because the mean of its divisors is an integer number (501050505021).

Almost surely, 2^{1002101010041} is an apocalyptic number.

It is an amenable number.

1002101010041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002101010041 is an equidigital number, since it uses as much as digits as its factorization.

1002101010041 is an evil number, because the sum of its binary digits is even.

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

Adding to 1002101010041 its reverse (1400101012001), we get a palindrome (2402202022042).

The spelling of 1002101010041 in words is "one trillion, two billion, one hundred one million, ten thousand, forty-one".