2002110011001 has 12 divisors (see below), whose sum is σ = 2908653081828. Its totient is φ = 1327024746144.

The previous prime is 2002110010969. The next prime is 2002110011003. The reversal of 2002110011001 is 1001100112002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1741449729600 + 260660281401 = 1319640^2 + 510549^2 .

It is not a de Polignac number, because 2002110011001 - 2⁵ = 2002110010969 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (2002110011003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 642936790 + ... + 642939903.

It is an arithmetic number, because the mean of its divisors is an integer number (242387756819).

Almost surely, 2^{2002110011001} is an apocalyptic number.

It is an amenable number.

2002110011001 is a deficient number, since it is larger than the sum of its proper divisors (906543070827).

2002110011001 is a wasteful number, since it uses less digits than its factorization.

2002110011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285876872 (or 1285876869 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2002110011001 its reverse (1001100112002), we get a palindrome (3003210123003).

It can be divided in two parts, 200211001 and 1001, that added together give a palindrome (200212002).

The spelling of 2002110011001 in words is "two trillion, two billion, one hundred ten million, eleven thousand, one".