220100101100 has 108 divisors (see below), whose sum is σ = 526402474752. Its totient is φ = 79820188800.

The previous prime is 220100100973. The next prime is 220100101103. The reversal of 220100101100 is 1101001022.

It is not an unprimeable number, because it can be changed into a prime (220100101103) 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 35 ways as a sum of consecutive naturals, for example, 4488917 + ... + 4537683.

Almost surely, 2^220100101100 is an apocalyptic number.

220100101100 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 220100101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263201237376).

220100101100 is an abundant number, since it is smaller than the sum of its proper divisors (306302373652).

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

220100101100 is a wasteful number, since it uses less digits than its factorization.

220100101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49176 (or 49158 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 220100101100 its reverse (1101001022), we get a palindrome (221201102122).

The spelling of 220100101100 in words is "two hundred twenty billion, one hundred million, one hundred one thousand, one hundred".