2101112100220 has 144 divisors (see below), whose sum is σ = 5405101380000. Its totient is φ = 682183337472.

The previous prime is 2101112100193. The next prime is 2101112100229. The reversal of 2101112100220 is 220012111012.

It is a self number, because there is not a number n which added to its sum of digits gives 2101112100220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101112100229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47440246 + ... + 47484514.

It is an arithmetic number, because the mean of its divisors is an integer number (37535426250).

Almost surely, 2^{2101112100220} is an apocalyptic number.

2101112100220 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 2101112100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702550690000).

2101112100220 is an abundant number, since it is smaller than the sum of its proper divisors (3303989279780).

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

2101112100220 is a wasteful number, since it uses less digits than its factorization.

2101112100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46860 (or 46851 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2101112100220 its reverse (220012111012), we get a palindrome (2321124211232).

The spelling of 2101112100220 in words is "two trillion, one hundred one billion, one hundred twelve million, one hundred thousand, two hundred twenty".