1002010020011 has 128 divisors (see below), whose sum is σ = 1451235502080. Its totient is φ = 667986739200.

The previous prime is 1002010020007. The next prime is 1002010020013. The reversal of 1002010020011 is 1100200102001.

1002010020011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1002010020011 - 2² = 1002010020007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002010020013) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 329498651 + ... + 329501691.

It is an arithmetic number, because the mean of its divisors is an integer number (11337777360).

Almost surely, 2^{1002010020011} is an apocalyptic number.

1002010020011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1002010020011 is a deficient number, since it is larger than the sum of its proper divisors (449225482069).

1002010020011 is a wasteful number, since it uses less digits than its factorization.

1002010020011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3190 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1002010020011 its reverse (1100200102001), we get a palindrome (2102210122012).

The spelling of 1002010020011 in words is "one trillion, two billion, ten million, twenty thousand, eleven".