100202211022200 has 192 divisors, whose sum is σ = 355033822690560. Its totient is φ = 22901317125120.

The previous prime is 100202211022169. The next prime is 100202211022217. The reversal of 100202211022200 is 2220112202001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100202211022200.

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, 46219719 + ... + 48339081.

It is an arithmetic number, because the mean of its divisors is an integer number (1849134493180).

Almost surely, 2^{100202211022200} is an apocalyptic number.

100202211022200 is a gapful number since it is divisible by the number (10) 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 100202211022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177516911345280).

100202211022200 is an abundant number, since it is smaller than the sum of its proper divisors (254831611668360).

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

100202211022200 is a wasteful number, since it uses less digits than its factorization.

100202211022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130646 (or 2130637 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100202211022200 its reverse (2220112202001), we get a palindrome (102422323224201).

The spelling of 100202211022200 in words is "one hundred trillion, two hundred two billion, two hundred eleven million, twenty-two thousand, two hundred".