1010001000001 has 64 divisors (see below), whose sum is σ = 1205350626816. Its totient is φ = 828638208000.

The previous prime is 1010000999963. The next prime is 1010001000017. The reversal of 1010001000001 is 1000001000101.

It is a cyclic number.

It is not a de Polignac number, because 1010001000001 - 2⁹ = 1010000999489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1010001000031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 586867821 + ... + 586869541.

It is an arithmetic number, because the mean of its divisors is an integer number (18833603544).

Almost surely, 2^{1010001000001} is an apocalyptic number.

It is an amenable number.

1010001000001 is a deficient number, since it is larger than the sum of its proper divisors (195349626815).

1010001000001 is a wasteful number, since it uses less digits than its factorization.

1010001000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 1010001000001 its reverse (1000001000101), we get a palindrome (2010002000102).

The spelling of 1010001000001 in words is "one trillion, ten billion, one million, one", and thus it is an aban number and an uban number.