2002121012000 has 96 divisors (see below), whose sum is σ = 4944701374704. Its totient is φ = 796698624000.

The previous prime is 2002121011999. The next prime is 2002121012027. The reversal of 2002121012000 is 2101212002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4613669776 + 1997507342224 = 67924^2 + 1413332^2 .

It is an unprimeable number.

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, 524711 + ... + 2068710.

Almost surely, 2^{2002121012000} is an apocalyptic number.

2002121012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002121012000 is an abundant number, since it is smaller than the sum of its proper divisors (2942580362704).

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

2002121012000 is a wasteful number, since it uses less digits than its factorization.

2002121012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593639 (or 2593621 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2002121012000 its reverse (2101212002), we get a palindrome (2004222224002).

The spelling of 2002121012000 in words is "two trillion, two billion, one hundred twenty-one million, twelve thousand".