1001002010101 has 2 divisors, whose sum is σ = 1001002010102. Its totient is φ = 1001002010100.

The previous prime is 1001002010069. The next prime is 1001002010191. The reversal of 1001002010101 is 1010102001001.

1001002010101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 612891699876 + 388110310225 = 782874^2 + 622985^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001002010101 - 2⁵ = 1001002010069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001002010191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500501005050 + 500501005051.

It is an arithmetic number, because the mean of its divisors is an integer number (500501005051).

Almost surely, 2^{1001002010101} is an apocalyptic number.

It is an amenable number.

1001002010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001002010101 is an equidigital number, since it uses as much as digits as its factorization.

1001002010101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1001002010101 its reverse (1010102001001), we get a palindrome (2011104011102).

The spelling of 1001002010101 in words is "one trillion, one billion, two million, ten thousand, one hundred one".