2102002202000 has 160 divisors (see below), whose sum is σ = 5124526592640. Its totient is φ = 833884761600.

The previous prime is 2102002201987. The next prime is 2102002202009. The reversal of 2102002202000 is 2022002012.

It is not an unprimeable number, because it can be changed into a prime (2102002202009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312190634 + ... + 312197366.

It is an arithmetic number, because the mean of its divisors is an integer number (32028291204).

Almost surely, 2^{2102002202000} is an apocalyptic number.

2102002202000 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 2102002202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562263296320).

2102002202000 is an abundant number, since it is smaller than the sum of its proper divisors (3022524390640).

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

2102002202000 is a wasteful number, since it uses less digits than its factorization.

2102002202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8018 (or 8002 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2102002202000 its reverse (2022002012), we get a palindrome (2104024204012).

The spelling of 2102002202000 in words is "two trillion, one hundred two billion, two million, two hundred two thousand".