233022120100 has 144 divisors (see below), whose sum is σ = 633735438336. Its totient is φ = 72249552000.

The previous prime is 233022120077. The next prime is 233022120137. The reversal of 233022120100 is 1021220332.

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, 1391479 + ... + 1549921.

It is an arithmetic number, because the mean of its divisors is an integer number (4400940544).

Almost surely, 2^233022120100 is an apocalyptic number.

233022120100 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 233022120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316867719168).

233022120100 is an abundant number, since it is smaller than the sum of its proper divisors (400713318236).

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

233022120100 is a wasteful number, since it uses less digits than its factorization.

233022120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158666 (or 158659 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 233022120100 its reverse (1021220332), we get a palindrome (234043340432).

The spelling of 233022120100 in words is "two hundred thirty-three billion, twenty-two million, one hundred twenty thousand, one hundred".