201100323100 has 144 divisors (see below), whose sum is σ = 464184040320. Its totient is φ = 75490732800.

The previous prime is 201100323091. The next prime is 201100323119. The reversal of 201100323100 is 1323001102.

It is a super-2 number, since 2×201100323100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 26307879 + ... + 26315521.

It is an arithmetic number, because the mean of its divisors is an integer number (3223500280).

Almost surely, 2^201100323100 is an apocalyptic number.

201100323100 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 201100323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232092020160).

201100323100 is an abundant number, since it is smaller than the sum of its proper divisors (263083717220).

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

201100323100 is a wasteful number, since it uses less digits than its factorization.

201100323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7940 (or 7933 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 201100323100 its reverse (1323001102), we get a palindrome (202423324202).

The spelling of 201100323100 in words is "two hundred one billion, one hundred million, three hundred twenty-three thousand, one hundred".