101133232200 has 1728 divisors, whose sum is σ = 480108021120. Its totient is φ = 18413568000.

The previous prime is 101133232181. The next prime is 101133232297. The reversal of 101133232200 is 2232331101.

101133232200 is a `hidden beast` number, since 1 + 0 + 11 + 332 + 322 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2466664180 + ... + 2466664220.

It is an arithmetic number, because the mean of its divisors is an integer number (277840290).

Almost surely, 2^101133232200 is an apocalyptic number.

101133232200 is a gapful number since it is divisible by the number (10) 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 101133232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240054010560).

101133232200 is an abundant number, since it is smaller than the sum of its proper divisors (378974788920).

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

101133232200 is a wasteful number, since it uses less digits than its factorization.

101133232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101133232200 its reverse (2232331101), we get a palindrome (103365563301).

It can be divided in two parts, 101133 and 232200, that added together give a palindrome (333333).

The spelling of 101133232200 in words is "one hundred one billion, one hundred thirty-three million, two hundred thirty-two thousand, two hundred".