10222212202200 has 144 divisors (see below), whose sum is σ = 34342082512920. Its totient is φ = 2724931768320.

The previous prime is 10222212202199. The next prime is 10222212202219. The reversal of 10222212202200 is 220221222201.

10222212202200 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 221 + 220 + 220 + 0 = 666.

10222212202200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 3923979 + ... + 5986821.

Almost surely, 2^{10222212202200} is an apocalyptic number.

10222212202200 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 10222212202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17171041256460).

10222212202200 is an abundant number, since it is smaller than the sum of its proper divisors (24119870310720).

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

10222212202200 is a wasteful number, since it uses less digits than its factorization.

10222212202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065618 (or 2065606 counting only the distinct ones).

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

Adding to 10222212202200 its reverse (220221222201), we get a palindrome (10442433424401).

The spelling of 10222212202200 in words is "ten trillion, two hundred twenty-two billion, two hundred twelve million, two hundred two thousand, two hundred".