200101133100 has 144 divisors (see below), whose sum is σ = 631770814080. Its totient is φ = 48495628800.

The previous prime is 200101133053. The next prime is 200101133107. The reversal of 200101133100 is 1331101002.

It is a super-3 number, since 3×200101133100³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (200101133107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16391599 + ... + 16403801.

It is an arithmetic number, because the mean of its divisors is an integer number (4387297320).

Almost surely, 2^200101133100 is an apocalyptic number.

200101133100 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 200101133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315885407040).

200101133100 is an abundant number, since it is smaller than the sum of its proper divisors (431669680980).

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

200101133100 is a wasteful number, since it uses less digits than its factorization.

200101133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17200 (or 17193 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 200101133100 its reverse (1331101002), we get a palindrome (201432234102).

The spelling of 200101133100 in words is "two hundred billion, one hundred one million, one hundred thirty-three thousand, one hundred".