220122220112100 has 216 divisors, whose sum is σ = 731084374063680. Its totient is φ = 55241546400000.

The previous prime is 220122220112063. The next prime is 220122220112131. The reversal of 220122220112100 is 1211022221022.

It is a happy number.

220122220112100 is a `hidden beast` number, since 2 + 201 + 22 + 220 + 11 + 210 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40042551 + ... + 45206750.

Almost surely, 2^{220122220112100} is an apocalyptic number.

220122220112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220122220112100 is an abundant number, since it is smaller than the sum of its proper divisors (510962153951580).

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

220122220112100 is a wasteful number, since it uses less digits than its factorization.

220122220112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85249491 (or 85249481 counting only the distinct ones).

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

Adding to 220122220112100 its reverse (1211022221022), we get a palindrome (221333242333122).

The spelling of 220122220112100 in words is "two hundred twenty trillion, one hundred twenty-two billion, two hundred twenty million, one hundred twelve thousand, one hundred".