2002122110000 has 100 divisors (see below), whose sum is σ = 4882723209672. Its totient is φ = 795002688000.

The previous prime is 2002122109987. The next prime is 2002122110003. The reversal of 2002122110000 is 112212002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (2002122110003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 639299 + ... + 2100701.

Almost surely, 2^{2002122110000} is an apocalyptic number.

2002122110000 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 2002122110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441361604836).

2002122110000 is an abundant number, since it is smaller than the sum of its proper divisors (2880601099672).

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

2002122110000 is a wasteful number, since it uses less digits than its factorization.

2002122110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461568 (or 1461547 counting only the distinct ones).

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

Adding to 2002122110000 its reverse (112212002), we get a palindrome (2002234322002).

The spelling of 2002122110000 in words is "two trillion, two billion, one hundred twenty-two million, one hundred ten thousand".