10222210222200 has 480 divisors, whose sum is σ = 35915217037920. Its totient is φ = 2694384000000.

The previous prime is 10222210222199. The next prime is 10222210222219. The reversal of 10222210222200 is 222201222201.

10222210222200 is a `hidden beast` number, since 1 + 0 + 22 + 221 + 0 + 222 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1032437250 + ... + 1032447150.

It is an arithmetic number, because the mean of its divisors is an integer number (74823368829).

Almost surely, 2^{10222210222200} is an apocalyptic number.

10222210222200 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 10222210222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17957608518960).

10222210222200 is an abundant number, since it is smaller than the sum of its proper divisors (25693006815720).

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

10222210222200 is a wasteful number, since it uses less digits than its factorization.

10222210222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10661 (or 10643 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10222210222200 its reverse (222201222201), we get a palindrome (10444411444401).

It can be divided in two parts, 102222 and 10222200, that multiplied together give a square (1044933728400 = 1022220²).

The spelling of 10222210222200 in words is "ten trillion, two hundred twenty-two billion, two hundred ten million, two hundred twenty-two thousand, two hundred".