220212211222100 has 144 divisors (see below), whose sum is σ = 495399538233600. Its totient is φ = 84865040064000.

The previous prime is 220212211222099. The next prime is 220212211222103. The reversal of 220212211222100 is 1222112212022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220212211222103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4422884006 + ... + 4422933794.

Almost surely, 2^{220212211222100} is an apocalyptic number.

220212211222100 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 220212211222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247699769116800).

220212211222100 is an abundant number, since it is smaller than the sum of its proper divisors (275187327011500).

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

220212211222100 is a wasteful number, since it uses less digits than its factorization.

220212211222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53074 (or 53067 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 220212211222100 its reverse (1222112212022), we get a palindrome (221434323434122).

The spelling of 220212211222100 in words is "two hundred twenty trillion, two hundred twelve billion, two hundred eleven million, two hundred twenty-two thousand, one hundred".