1011000002001 has 32 divisors (see below), whose sum is σ = 1573100258688. Its totient is φ = 570739261440.

The previous prime is 1011000001969. The next prime is 1011000002003. The reversal of 1011000002001 is 1002000001101.

It is not a de Polignac number, because 1011000002001 - 2⁵ = 1011000001969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1011000002003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9234960 + ... + 9343793.

It is an arithmetic number, because the mean of its divisors is an integer number (49159383084).

Almost surely, 2^{1011000002001} is an apocalyptic number.

1011000002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011000002001 is a deficient number, since it is larger than the sum of its proper divisors (562100256687).

1011000002001 is a wasteful number, since it uses less digits than its factorization.

1011000002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18578881.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1011000002001 its reverse (1002000001101), we get a palindrome (2013000003102).

The spelling of 1011000002001 in words is "one trillion, eleven billion, two thousand, one".