1011000000001 has 16 divisors (see below), whose sum is σ = 1039355412480. Its totient is φ = 982866522960.

The previous prime is 1010999999957. The next prime is 1011000000007. The reversal of 1011000000001 is 1000000001101.

1011000000001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1011000000001 - 2¹⁹ = 1010999475713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011000000007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84674490 + ... + 84686428.

It is an arithmetic number, because the mean of its divisors is an integer number (64959713280).

Almost surely, 2^{1011000000001} is an apocalyptic number.

It is an amenable number.

1011000000001 is a deficient number, since it is larger than the sum of its proper divisors (28355412479).

1011000000001 is a wasteful number, since it uses less digits than its factorization.

1011000000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21036.

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

Adding to 1011000000001 its reverse (1000000001101), we get a palindrome (2011000001102).

It can be divided in two parts, 101 and 1000000001, that multiplied together give a palindrome (101000000101).

The spelling of 1011000000001 in words is "one trillion, eleven billion, one", and thus it is an aban number and an uban number.