2123032011100 has 1296 divisors, whose sum is σ = 6773561256000. Its totient is φ = 573364915200.

The previous prime is 2123032011071. The next prime is 2123032011101. The reversal of 2123032011100 is 11102303212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123032011101) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 19477357846 + ... + 19477357954.

Almost surely, 2^{2123032011100} is an apocalyptic number.

2123032011100 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 2123032011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386780628000).

2123032011100 is an abundant number, since it is smaller than the sum of its proper divisors (4650529244900).

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

2123032011100 is a wasteful number, since it uses less digits than its factorization.

2123032011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2123032011100 its reverse (11102303212), we get a palindrome (2134134314312).

The spelling of 2123032011100 in words is "two trillion, one hundred twenty-three billion, thirty-two million, eleven thousand, one hundred".