1001010102041 has 2 divisors, whose sum is σ = 1001010102042. Its totient is φ = 1001010102040.

The previous prime is 1001010101963. The next prime is 1001010102061. The reversal of 1001010102041 is 1402010101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 916806250000 + 84203852041 = 957500^2 + 290179^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001010102041 - 2³⁴ = 983830232857 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001010102061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500505051020 + 500505051021.

It is an arithmetic number, because the mean of its divisors is an integer number (500505051021).

Almost surely, 2^{1001010102041} is an apocalyptic number.

It is an amenable number.

1001010102041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001010102041 is an equidigital number, since it uses as much as digits as its factorization.

1001010102041 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 1001010102041 its reverse (1402010101001), we get a palindrome (2403020203042).

The spelling of 1001010102041 in words is "one trillion, one billion, ten million, one hundred two thousand, forty-one".