233012201100 has 144 divisors (see below), whose sum is σ = 770659008000. Its totient is φ = 53248504320.

The previous prime is 233012201099. The next prime is 233012201117. The reversal of 233012201100 is 1102210332.

It is a super-2 number, since 2×233012201100² (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 233012201100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13345176 + ... + 13362624.

Almost surely, 2^233012201100 is an apocalyptic number.

233012201100 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 233012201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385329504000).

233012201100 is an abundant number, since it is smaller than the sum of its proper divisors (537646806900).

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

233012201100 is a wasteful number, since it uses less digits than its factorization.

233012201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23832 (or 23825 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 233012201100 its reverse (1102210332), we get a palindrome (234114411432).

The spelling of 233012201100 in words is "two hundred thirty-three billion, twelve million, two hundred one thousand, one hundred".