220211102222100 has 216 divisors, whose sum is σ = 753022113375168. Its totient is φ = 53382127142400.

The previous prime is 220211102222047. The next prime is 220211102222131. The reversal of 220211102222100 is 1222201112022.

It is a happy number.

220211102222100 is a `hidden beast` number, since 2 + 20 + 211 + 1 + 0 + 222 + 210 + 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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 226591417 + ... + 227561183.

It is an arithmetic number, because the mean of its divisors is an integer number (3486213487848).

Almost surely, 2^{220211102222100} is an apocalyptic number.

220211102222100 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 220211102222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376511056687584).

220211102222100 is an abundant number, since it is smaller than the sum of its proper divisors (532811011153068).

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

220211102222100 is a wasteful number, since it uses less digits than its factorization.

220211102222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992735 (or 992725 counting only the distinct ones).

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

Adding to 220211102222100 its reverse (1222201112022), we get a palindrome (221433303334122).

The spelling of 220211102222100 in words is "two hundred twenty trillion, two hundred eleven billion, one hundred two million, two hundred twenty-two thousand, one hundred".