10220102202200 has 192 divisors, whose sum is σ = 27380374686720. Its totient is φ = 3512875968000.

The previous prime is 10220102202187. The next prime is 10220102202221. The reversal of 10220102202200 is 220220102201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1190102 + ... + 4675098.

It is an arithmetic number, because the mean of its divisors is an integer number (142606118160).

Almost surely, 2^{10220102202200} is an apocalyptic number.

10220102202200 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 10220102202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13690187343360).

10220102202200 is an abundant number, since it is smaller than the sum of its proper divisors (17160272484520).

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

10220102202200 is a wasteful number, since it uses less digits than its factorization.

10220102202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3485098 (or 3485089 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10220102202200 its reverse (220220102201), we get a palindrome (10440322304401).

The spelling of 10220102202200 in words is "ten trillion, two hundred twenty billion, one hundred two million, two hundred two thousand, two hundred".