220122122210100 has 216 divisors, whose sum is σ = 752724688078272. Its totient is φ = 53360071833600.

The previous prime is 220122122210087. The next prime is 220122122210131. The reversal of 220122122210100 is 1012221221022.

It is a happy number.

220122122210100 is a `hidden beast` number, since 2 + 201 + 221 + 22 + 210 + 10 + 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 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 71 ways as a sum of consecutive naturals, for example, 186650889 + ... + 187826511.

Almost surely, 2^{220122122210100} is an apocalyptic number.

220122122210100 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 220122122210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376362344039136).

220122122210100 is an abundant number, since it is smaller than the sum of its proper divisors (532602565868172).

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

220122122210100 is a wasteful number, since it uses less digits than its factorization.

220122122210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194567 (or 1194557 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220122122210100 its reverse (1012221221022), we get a palindrome (221134343431122).

The spelling of 220122122210100 in words is "two hundred twenty trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred ten thousand, one hundred".