220120000100100 has 144 divisors (see below), whose sum is σ = 707650504691200. Its totient is φ = 58698213183360.

The previous prime is 220120000100087. The next prime is 220120000100107. The reversal of 220120000100100 is 1001000021022.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (220120000100107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 491302986 + ... + 491750814.

Almost surely, 2^{220120000100100} is an apocalyptic number.

220120000100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220120000100100 is an abundant number, since it is smaller than the sum of its proper divisors (487530504591100).

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

220120000100100 is a wasteful number, since it uses less digits than its factorization.

220120000100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629899 (or 629886 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 220120000100100 its reverse (1001000021022), we get a palindrome (221121000121122).

The spelling of 220120000100100 in words is "two hundred twenty trillion, one hundred twenty billion, one hundred thousand, one hundred".