332212211222100 has 144 divisors (see below), whose sum is σ = 1048856865530880. Its totient is φ = 80515224316800.

The previous prime is 332212211222083. The next prime is 332212211222117. The reversal of 332212211222100 is 1222112212233.

It is an interprime number because it is at equal distance from previous prime (332212211222083) and next prime (332212211222117).

It is a super-2 number, since 2×332212211222100² (a number of 30 digits) contains 22 as substring.

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, 550510 + ... + 25782309.

Almost surely, 2^{332212211222100} is an apocalyptic number.

332212211222100 is a gapful number since it is divisible by the number (30) 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 332212211222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524428432765440).

332212211222100 is an abundant number, since it is smaller than the sum of its proper divisors (716644654308780).

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

332212211222100 is a wasteful number, since it uses less digits than its factorization.

332212211222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26336670 (or 26336663 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 332212211222100 its reverse (1222112212233), we get a palindrome (333434323434333).

The spelling of 332212211222100 in words is "three hundred thirty-two trillion, two hundred twelve billion, two hundred eleven million, two hundred twenty-two thousand, one hundred".