220012220100 has 288 divisors, whose sum is σ = 706963251456. Its totient is φ = 52544307200.

The previous prime is 220012220081. The next prime is 220012220107. The reversal of 220012220100 is 1022210022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (220012220107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23103340 + ... + 23112860.

It is an arithmetic number, because the mean of its divisors is an integer number (2454733512).

Almost surely, 2^220012220100 is an apocalyptic number.

220012220100 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 220012220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353481625728).

220012220100 is an abundant number, since it is smaller than the sum of its proper divisors (486951031356).

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

220012220100 is a wasteful number, since it uses less digits than its factorization.

220012220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9775 (or 9768 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220012220100 its reverse (1022210022), we get a palindrome (221034430122).

It can be divided in two parts, 2200122 and 20100, that added together give a palindrome (2220222).

The spelling of 220012220100 in words is "two hundred twenty billion, twelve million, two hundred twenty thousand, one hundred".