200210210100000 has 216 divisors, whose sum is σ = 711639186591060. Its totient is φ = 53389389120000.

The previous prime is 200210210099969. The next prime is 200210210100007. The reversal of 200210210100000 is 1012012002.

It can be written as a sum of positive squares in 6 ways, for example, as 55567542644496 + 144642667455504 = 7454364^2 + 12026748^2 .

It is a super-2 number, since 2×200210210100000² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (200210210100007) 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 35 ways as a sum of consecutive naturals, for example, 110327895 + ... + 112127894.

Almost surely, 2^{200210210100000} is an apocalyptic number.

200210210100000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200210210100000 is an abundant number, since it is smaller than the sum of its proper divisors (511428976491060).

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

200210210100000 is an equidigital number, since it uses as much as digits as its factorization.

200210210100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222455830 (or 222455799 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200210210100000 its reverse (1012012002), we get a palindrome (200211222112002).

The spelling of 200210210100000 in words is "two hundred trillion, two hundred ten billion, two hundred ten million, one hundred thousand".