2211101222220 has 288 divisors, whose sum is σ = 7685162493120. Its totient is φ = 527236300800.

The previous prime is 2211101222219. The next prime is 2211101222221. The reversal of 2211101222220 is 222221011122.

It is a happy number.

2211101222220 is a `hidden beast` number, since 2 + 211 + 10 + 1 + 222 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (2211101222219) and next prime (2211101222221).

It is a super-2 number, since 2×2211101222220² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2211101222193 and 2211101222202.

It is not an unprimeable number, because it can be changed into a prime (2211101222221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3708364 + ... + 4263116.

It is an arithmetic number, because the mean of its divisors is an integer number (26684591990).

Almost surely, 2^{2211101222220} is an apocalyptic number.

2211101222220 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 2211101222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3842581246560).

2211101222220 is an abundant number, since it is smaller than the sum of its proper divisors (5474061270900).

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

2211101222220 is a wasteful number, since it uses less digits than its factorization.

2211101222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554854 (or 554835 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2211101222220 its reverse (222221011122), we get a palindrome (2433322233342).

The spelling of 2211101222220 in words is "two trillion, two hundred eleven billion, one hundred one million, two hundred twenty-two thousand, two hundred twenty".