2002002010101 has 12 divisors (see below), whose sum is σ = 2912584860640. Its totient is φ = 1325066077800.

The previous prime is 2002002010097. The next prime is 2002002010109. The reversal of 2002002010101 is 1010102002002.

It is not a de Polignac number, because 2002002010101 - 2² = 2002002010097 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002002010109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 800159425 + ... + 800161926.

Almost surely, 2^{2002002010101} is an apocalyptic number.

It is an amenable number.

2002002010101 is a deficient number, since it is larger than the sum of its proper divisors (910582850539).

2002002010101 is a wasteful number, since it uses less digits than its factorization.

2002002010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600321496 (or 1600321493 counting only the distinct ones).

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

Adding to 2002002010101 its reverse (1010102002002), we get a palindrome (3012104012103).

The spelling of 2002002010101 in words is "two trillion, two billion, two million, ten thousand, one hundred one".