2221311101130 has 384 divisors, whose sum is σ = 6805578963456. Its totient is φ = 496628121600.

The previous prime is 2221311101129. The next prime is 2221311101159. The reversal of 2221311101130 is 311011131222.

2221311101130 is a `hidden beast` number, since 2 + 221 + 311 + 1 + 0 + 1 + 130 = 666.

It is a super-3 number, since 3×2221311101130³ (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1290708670 + ... + 1290710390.

It is an arithmetic number, because the mean of its divisors is an integer number (17722861884).

Almost surely, 2^{2221311101130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221311101130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402789481728).

2221311101130 is an abundant number, since it is smaller than the sum of its proper divisors (4584267862326).

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

2221311101130 is a wasteful number, since it uses less digits than its factorization.

2221311101130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3262 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2221311101130 its reverse (311011131222), we get a palindrome (2532322232352).

The spelling of 2221311101130 in words is "two trillion, two hundred twenty-one billion, three hundred eleven million, one hundred one thousand, one hundred thirty".