2102100220 has 48 divisors (see below), whose sum is σ = 4862527488. Its totient is φ = 756970560.

The previous prime is 2102100191. The next prime is 2102100229. The reversal of 2102100220 is 220012012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2102100197 and 2102100206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102100229) 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 15 ways as a sum of consecutive naturals, for example, 23724 + ... + 69043.

It is an arithmetic number, because the mean of its divisors is an integer number (101302656).

Almost surely, 2^2102100220 is an apocalyptic number.

2102100220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102100220 is an abundant number, since it is smaller than the sum of its proper divisors (2760427268).

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

2102100220 is a wasteful number, since it uses less digits than its factorization.

2102100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92890 (or 92888 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2102100220 is about 45848.6665018733. Note that the first 3 decimals coincide. The cubic root of 2102100220 is about 1281.0059271904.

Adding to 2102100220 its reverse (220012012), we get a palindrome (2322112232).

The spelling of 2102100220 in words is "two billion, one hundred two million, one hundred thousand, two hundred twenty".