2111131100232 has 288 divisors, whose sum is σ = 7258564141920. Its totient is φ = 548136046080.

The previous prime is 2111131100231. The next prime is 2111131100297. The reversal of 2111131100232 is 2320011311112.

2111131100232 is a `hidden beast` number, since 211 + 113 + 110 + 0 + 232 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2111131100231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 119015268 + ... + 119033004.

It is an arithmetic number, because the mean of its divisors is an integer number (25203347715).

Almost surely, 2^{2111131100232} is an apocalyptic number.

2111131100232 is a gapful number since it is divisible by the number (22) 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 2111131100232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629282070960).

2111131100232 is an abundant number, since it is smaller than the sum of its proper divisors (5147433041688).

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

2111131100232 is a wasteful number, since it uses less digits than its factorization.

2111131100232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20841 (or 20827 counting only the distinct ones).

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

Adding to 2111131100232 its reverse (2320011311112), we get a palindrome (4431142411344).

The spelling of 2111131100232 in words is "two trillion, one hundred eleven billion, one hundred thirty-one million, one hundred thousand, two hundred thirty-two".