220212222110100 has 576 divisors, whose sum is σ = 783685140940800. Its totient is φ = 52598754432000.

The previous prime is 220212222110081. The next prime is 220212222110107. The reversal of 220212222110100 is 1011222212022.

It is a happy number.

220212222110100 is a `hidden beast` number, since 2 + 20 + 212 + 222 + 110 + 100 = 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 (220212222110107) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3329604232 + ... + 3329670368.

It is an arithmetic number, because the mean of its divisors is an integer number (1360564480800).

Almost surely, 2^{220212222110100} is an apocalyptic number.

220212222110100 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 220212222110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391842570470400).

220212222110100 is an abundant number, since it is smaller than the sum of its proper divisors (563472918830700).

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

220212222110100 is a wasteful number, since it uses less digits than its factorization.

220212222110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67821 (or 67808 counting only the distinct ones).

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

Adding to 220212222110100 its reverse (1011222212022), we get a palindrome (221223444322122).

The spelling of 220212222110100 in words is "two hundred twenty trillion, two hundred twelve billion, two hundred twenty-two million, one hundred ten thousand, one hundred".