1011010000001 has 2 divisors, whose sum is σ = 1011010000002. Its totient is φ = 1011010000000.

The previous prime is 1011009999991. The next prime is 1011010000019. The reversal of 1011010000001 is 1000000101101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 913125491776 + 97884508225 = 955576^2 + 312865^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011010000001 - 2¹⁴ = 1011009983617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1011010000001.

It is not a weakly prime, because it can be changed into another prime (1011010000501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505505000000 + 505505000001.

It is an arithmetic number, because the mean of its divisors is an integer number (505505000001).

Almost surely, 2^{1011010000001} is an apocalyptic number.

It is an amenable number.

1011010000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011010000001 is an equidigital number, since it uses as much as digits as its factorization.

1011010000001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1011010000001 its reverse (1000000101101), we get a palindrome (2011010101102).

The spelling of 1011010000001 in words is "one trillion, eleven billion, ten million, one", and thus it is an aban number and an uban number.