2212132022100 has 432 divisors, whose sum is σ = 9309727889280. Its totient is φ = 424304870400.

The previous prime is 2212132022057. The next prime is 2212132022101. The reversal of 2212132022100 is 12202312122.

2212132022100 is a `hidden beast` number, since 2 + 2 + 121 + 320 + 221 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212132022101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 326835 + ... + 2128634.

It is an arithmetic number, because the mean of its divisors is an integer number (21550296040).

Almost surely, 2^{2212132022100} is an apocalyptic number.

2212132022100 is a gapful number since it is divisible by the number (20) 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 2212132022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654863944640).

2212132022100 is an abundant number, since it is smaller than the sum of its proper divisors (7097595867180).

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

2212132022100 is a wasteful number, since it uses less digits than its factorization.

2212132022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455520 (or 2455510 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2212132022100 its reverse (12202312122), we get a palindrome (2224334334222).

The spelling of 2212132022100 in words is "two trillion, two hundred twelve billion, one hundred thirty-two million, twenty-two thousand, one hundred".