1011001000001 has 2 divisors, whose sum is σ = 1011001000002. Its totient is φ = 1011001000000.

The previous prime is 1011000999961. The next prime is 1011001000063. The reversal of 1011001000001 is 1000001001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1007365512976 + 3635487025 = 1003676^2 + 60295^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011001000001 - 2³⁴ = 993821130817 is a prime.

It is not a weakly prime, because it can be changed into another prime (1011001000201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505500500000 + 505500500001.

It is an arithmetic number, because the mean of its divisors is an integer number (505500500001).

Almost surely, 2^{1011001000001} is an apocalyptic number.

It is an amenable number.

1011001000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011001000001 is an equidigital number, since it uses as much as digits as its factorization.

1011001000001 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 1011001000001 its reverse (1000001001101), we get a palindrome (2011002001102).

The spelling of 1011001000001 in words is "one trillion, eleven billion, one million, one", and thus it is an aban number and an uban number.