2000202210000 has 300 divisors, whose sum is σ = 7236212248980. Its totient is φ = 514993920000.

The previous prime is 2000202209987. The next prime is 2000202210001. The reversal of 2000202210000 is 122020002.

It can be written as a sum of positive squares in 10 ways, for example, as 1535983465104 + 464218744896 = 1239348^2 + 681336^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000202210001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2226820 + ... + 2993180.

Almost surely, 2^{2000202210000} is an apocalyptic number.

2000202210000 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 2000202210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3618106124490).

2000202210000 is an abundant number, since it is smaller than the sum of its proper divisors (5236010038980).

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

2000202210000 is a wasteful number, since it uses less digits than its factorization.

2000202210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766424 (or 766400 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2000202210000 its reverse (122020002), we get a palindrome (2000324230002).

The spelling of 2000202210000 in words is "two trillion, two hundred two million, two hundred ten thousand".