12202200010100 has 72 divisors (see below), whose sum is σ = 26790322731480. Its totient is φ = 4823509166080.

The previous prime is 12202200010061. The next prime is 12202200010103. The reversal of 12202200010100 is 101000220221.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 3449288415076 + 8752911595024 = 1857226^2 + 2958532^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202200010103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16667354 + ... + 17384046.

It is an arithmetic number, because the mean of its divisors is an integer number (372087815715).

Almost surely, 2^{12202200010100} is an apocalyptic number.

12202200010100 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 12202200010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13395161365740).

12202200010100 is an abundant number, since it is smaller than the sum of its proper divisors (14588122721380).

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

12202200010100 is a wasteful number, since it uses less digits than its factorization.

12202200010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718709 (or 718702 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12202200010100 its reverse (101000220221), we get a palindrome (12303200230321).

The spelling of 12202200010100 in words is "twelve trillion, two hundred two billion, two hundred million, ten thousand, one hundred".