2011231322100 has 864 divisors, whose sum is σ = 8693143769856. Its totient is φ = 375338188800.

The previous prime is 2011231322069. The next prime is 2011231322117. The reversal of 2011231322100 is 12231321102.

2011231322100 is a `hidden beast` number, since 2 + 0 + 11 + 231 + 322 + 100 = 666.

It is a super-2 number, since 2×2011231322100² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33303132 + ... + 33363468.

Almost surely, 2^{2011231322100} is an apocalyptic number.

2011231322100 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 2011231322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4346571884928).

2011231322100 is an abundant number, since it is smaller than the sum of its proper divisors (6681912447756).

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

2011231322100 is a wasteful number, since it uses less digits than its factorization.

2011231322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60425 (or 60415 counting only the distinct ones).

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

Adding to 2011231322100 its reverse (12231321102), we get a palindrome (2023462643202).

The spelling of 2011231322100 in words is "two trillion, eleven billion, two hundred thirty-one million, three hundred twenty-two thousand, one hundred".