1022100202200 has 576 divisors, whose sum is σ = 4025530206720. Its totient is φ = 212139648000.

The previous prime is 1022100202199. The next prime is 1022100202213. The reversal of 1022100202200 is 22020012201.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 460197090 + ... + 460199310.

It is an arithmetic number, because the mean of its divisors is an integer number (6988767720).

Almost surely, 2^{1022100202200} is an apocalyptic number.

1022100202200 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 1022100202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012765103360).

1022100202200 is an abundant number, since it is smaller than the sum of its proper divisors (3003430004520).

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

1022100202200 is a wasteful number, since it uses less digits than its factorization.

1022100202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1022100202200 its reverse (22020012201), we get a palindrome (1044120214401).

The spelling of 1022100202200 in words is "one trillion, twenty-two billion, one hundred million, two hundred two thousand, two hundred".