2231100011322 has 288 divisors, whose sum is σ = 6175914885504. Its totient is φ = 566792640000.

The previous prime is 2231100011303. The next prime is 2231100011347.

2231100011322 is a `hidden beast` number, since 2 + 231 + 100 + 0 + 11 + 322 = 666.

2231100011322 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2231100011322³ (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 a junction number, because it is equal to n+sod(n) for n = 2231100011295 and 2231100011304.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 226479697 + ... + 226489547.

It is an arithmetic number, because the mean of its divisors is an integer number (21444148908).

Almost surely, 2^{2231100011322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231100011322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3087957442752).

2231100011322 is an abundant number, since it is smaller than the sum of its proper divisors (3944814874182).

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

2231100011322 is a wasteful number, since it uses less digits than its factorization.

2231100011322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10054 (or 10014 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 22311000 and 11322, that added together give a palindrome (22322322).

The spelling of 2231100011322 in words is "two trillion, two hundred thirty-one billion, one hundred million, eleven thousand, three hundred twenty-two".