233101121100 has 144 divisors (see below), whose sum is σ = 696542918400. Its totient is φ = 60141899520.

The previous prime is 233101121041. The next prime is 233101121107. The reversal of 233101121100 is 1121101332.

It is a happy number.

233101121100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×233101121100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 233101121100.

It is not an unprimeable number, because it can be changed into a prime (233101121107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1928241 + ... + 2045559.

It is an arithmetic number, because the mean of its divisors is an integer number (4837103600).

Almost surely, 2^233101121100 is an apocalyptic number.

233101121100 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 233101121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348271459200).

233101121100 is an abundant number, since it is smaller than the sum of its proper divisors (463441797300).

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

233101121100 is a wasteful number, since it uses less digits than its factorization.

233101121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117552 (or 117545 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 233101121100 its reverse (1121101332), we get a palindrome (234222222432).

The spelling of 233101121100 in words is "two hundred thirty-three billion, one hundred one million, one hundred twenty-one thousand, one hundred".