2002102122000 has 80 divisors (see below), whose sum is σ = 6454777260672. Its totient is φ = 533893897600.

The previous prime is 2002102121977. The next prime is 2002102122001. The reversal of 2002102122000 is 2212012002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2002102122001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166835844 + ... + 166847843.

Almost surely, 2^{2002102122000} is an apocalyptic number.

2002102122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002102122000 is an abundant number, since it is smaller than the sum of its proper divisors (4452675138672).

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

2002102122000 is a wasteful number, since it uses less digits than its factorization.

2002102122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333683713 (or 333683697 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2002102122000 its reverse (2212012002), we get a palindrome (2004314134002).

The spelling of 2002102122000 in words is "two trillion, two billion, one hundred two million, one hundred twenty-two thousand".