12202122100 has 90 divisors (see below), whose sum is σ = 30890475574. Its totient is φ = 4183502400.

The previous prime is 12202122073. The next prime is 12202122103. The reversal of 12202122100 is 122120221.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3679878244 + 8522243856 = 60662^2 + 92316^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202122103) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 214690 + ... + 265510.

Almost surely, 2^12202122100 is an apocalyptic number.

12202122100 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 12202122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15445237787).

12202122100 is an abundant number, since it is smaller than the sum of its proper divisors (18688353474).

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

12202122100 is an equidigital number, since it uses as much as digits as its factorization.

12202122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50863 (or 50835 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12202122100 its reverse (122120221), we get a palindrome (12324242321).

The spelling of 12202122100 in words is "twelve billion, two hundred two million, one hundred twenty-two thousand, one hundred".