200209222535100 has 432 divisors, whose sum is σ = 622221622017408. Its totient is φ = 49689262551040.

The previous prime is 200209222535089. The next prime is 200209222535137. The reversal of 200209222535100 is 1535222902002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5222875534 + ... + 5222913866.

It is an arithmetic number, because the mean of its divisors is an integer number (1440327828744).

Almost surely, 2^{200209222535100} is an apocalyptic number.

200209222535100 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 200209222535100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311110811008704).

200209222535100 is an abundant number, since it is smaller than the sum of its proper divisors (422012399482308).

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

200209222535100 is a wasteful number, since it uses less digits than its factorization.

200209222535100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39054 (or 39030 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 200209222535100 in words is "two hundred trillion, two hundred nine billion, two hundred twenty-two million, five hundred thirty-five thousand, one hundred".