2002122100000 has 144 divisors (see below), whose sum is σ = 5374674248832. Its totient is φ = 728044000000.

The previous prime is 2002122099997. The next prime is 2002122100003. The reversal of 2002122100000 is 12212002.

It is an interprime number because it is at equal distance from previous prime (2002122099997) and next prime (2002122100003).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 2002122100000.

It is not an unprimeable number, because it can be changed into a prime (2002122100003) 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 23 ways as a sum of consecutive naturals, for example, 189945 + ... + 2010055.

It is an arithmetic number, because the mean of its divisors is an integer number (37324126728).

Almost surely, 2^{2002122100000} is an apocalyptic number.

2002122100000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002122100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687337124416).

2002122100000 is an abundant number, since it is smaller than the sum of its proper divisors (3372552148832).

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

2002122100000 is an equidigital number, since it uses as much as digits as its factorization.

2002122100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820157 (or 1820129 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2002122100000 its reverse (12212002), we get a palindrome (2002134312002).

The spelling of 2002122100000 in words is "two trillion, two billion, one hundred twenty-two million, one hundred thousand".