2221010101120 has 128 divisors (see below), whose sum is σ = 5600181888000. Its totient is φ = 839970367488.

The previous prime is 2221010101081. The next prime is 2221010101171. The reversal of 2221010101120 is 211010101222.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2221010101120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5934921 + ... + 6298039.

It is an arithmetic number, because the mean of its divisors is an integer number (43751421000).

Almost surely, 2^{2221010101120} is an apocalyptic number.

2221010101120 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 2221010101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800090944000).

2221010101120 is an abundant number, since it is smaller than the sum of its proper divisors (3379171786880).

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

2221010101120 is a wasteful number, since it uses less digits than its factorization.

2221010101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363660 (or 363648 counting only the distinct ones).

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

Adding to 2221010101120 its reverse (211010101222), we get a palindrome (2432020202342).

The spelling of 2221010101120 in words is "two trillion, two hundred twenty-one billion, ten million, one hundred one thousand, one hundred twenty".