210000022002000 has 240 divisors, whose sum is σ = 733538050202880. Its totient is φ = 55994052576000.

The previous prime is 210000022001989. The next prime is 210000022002059. The reversal of 210000022002000 is 200220000012.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170006605 + ... + 171237395.

It is an arithmetic number, because the mean of its divisors is an integer number (3056408542512).

Almost surely, 2^{210000022002000} is an apocalyptic number.

210000022002000 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 210000022002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366769025101440).

210000022002000 is an abundant number, since it is smaller than the sum of its proper divisors (523538028200880).

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

210000022002000 is a wasteful number, since it uses less digits than its factorization.

210000022002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240299 (or 1240280 counting only the distinct ones).

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

Adding to 210000022002000 its reverse (200220000012), we get a palindrome (210200242002012).

The spelling of 210000022002000 in words is "two hundred ten trillion, twenty-two million, two thousand".