220212202220100 has 216 divisors, whose sum is σ = 707923781353152. Its totient is φ = 57233708064000.

The previous prime is 220212202220083. The next prime is 220212202220107. The reversal of 220212202220100 is 1022202212022.

220212202220100 is a `hidden beast` number, since 2 + 20 + 212 + 202 + 220 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (220212202220107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8084082 + ... + 22489481.

It is an arithmetic number, because the mean of its divisors is an integer number (3277424913672).

Almost surely, 2^{220212202220100} is an apocalyptic number.

220212202220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220212202220100 is an abundant number, since it is smaller than the sum of its proper divisors (487711579133052).

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

220212202220100 is a wasteful number, since it uses less digits than its factorization.

220212202220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30573787 (or 30573777 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220212202220100 its reverse (1022202212022), we get a palindrome (221234404432122).

The spelling of 220212202220100 in words is "two hundred twenty trillion, two hundred twelve billion, two hundred two million, two hundred twenty thousand, one hundred".