2111101100220 has 384 divisors, whose sum is σ = 7281259776000. Its totient is φ = 446018715648.

The previous prime is 2111101100183. The next prime is 2111101100233. The reversal of 2111101100220 is 220011011112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2111101100196 and 2111101100205.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 612089056 + ... + 612092504.

It is an arithmetic number, because the mean of its divisors is an integer number (18961614000).

Almost surely, 2^{2111101100220} is an apocalyptic number.

2111101100220 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 2111101100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3640629888000).

2111101100220 is an abundant number, since it is smaller than the sum of its proper divisors (5170158675780).

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

2111101100220 is a wasteful number, since it uses less digits than its factorization.

2111101100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4997 (or 4995 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2111101100220 its reverse (220011011112), we get a palindrome (2331112111332).

The spelling of 2111101100220 in words is "two trillion, one hundred eleven billion, one hundred one million, one hundred thousand, two hundred twenty".