21100102000220 has 96 divisors (see below), whose sum is σ = 47730958442496. Its totient is φ = 7812217670400.

The previous prime is 21100102000213. The next prime is 21100102000249. The reversal of 21100102000220 is 2200020100112.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359850305 + ... + 359908935.

It is an arithmetic number, because the mean of its divisors is an integer number (497197483776).

Almost surely, 2^{21100102000220} is an apocalyptic number.

21100102000220 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 21100102000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23865479221248).

21100102000220 is an abundant number, since it is smaller than the sum of its proper divisors (26630856442276).

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

21100102000220 is a wasteful number, since it uses less digits than its factorization.

21100102000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83931 (or 83929 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21100102000220 its reverse (2200020100112), we get a palindrome (23300122100332).

The spelling of 21100102000220 in words is "twenty-one trillion, one hundred billion, one hundred two million, two hundred twenty", and thus it is an aban number.