2002001020011 has 96 divisors (see below), whose sum is σ = 3217899327552. Its totient is φ = 1194145873920.

The previous prime is 2002001019979. The next prime is 2002001020067. The reversal of 2002001020011 is 1100201002002.

It is not a de Polignac number, because 2002001020011 - 2⁵ = 2002001019979 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2002001019975 and 2002001020002.

It is not an unprimeable number, because it can be changed into a prime (2002001020111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37981771 + ... + 38034443.

It is an arithmetic number, because the mean of its divisors is an integer number (33519784662).

Almost surely, 2^{2002001020011} is an apocalyptic number.

2002001020011 is a deficient number, since it is larger than the sum of its proper divisors (1215898307541).

2002001020011 is a wasteful number, since it uses less digits than its factorization.

2002001020011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52893 (or 52890 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2002001020011 its reverse (1100201002002), we get a palindrome (3102202022013).

The spelling of 2002001020011 in words is "two trillion, two billion, one million, twenty thousand, eleven".