2002000102000 has 40 divisors (see below), whose sum is σ = 4840836251472. Its totient is φ = 800800040000.

The previous prime is 2002000101901. The next prime is 2002000102009. The reversal of 2002000102000 is 2010002002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002000102009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 500498026 + ... + 500502025.

Almost surely, 2^{2002000102000} is an apocalyptic number.

2002000102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002000102000 is an abundant number, since it is smaller than the sum of its proper divisors (2838836149472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2002000102000 is a wasteful number, since it uses less digits than its factorization.

2002000102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001000074 (or 1001000058 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 2002000102000 its reverse (2010002002), we get a palindrome (2004010104002).

The spelling of 2002000102000 in words is "two trillion, two billion, one hundred two thousand".