201332111201100 has 576 divisors, whose sum is σ = 707682665410560. Its totient is φ = 48697528320000.

The previous prime is 201332111201063. The next prime is 201332111201167. The reversal of 201332111201100 is 1102111233102.

201332111201100 is a `hidden beast` number, since 20 + 1 + 332 + 1 + 11 + 201 + 100 = 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 (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36799871365 + ... + 36799876835.

It is an arithmetic number, because the mean of its divisors is an integer number (1228615738560).

Almost surely, 2^{201332111201100} is an apocalyptic number.

201332111201100 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 201332111201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353841332705280).

201332111201100 is an abundant number, since it is smaller than the sum of its proper divisors (506350554209460).

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

201332111201100 is a wasteful number, since it uses less digits than its factorization.

201332111201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8079 (or 8066 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 201332111201100 its reverse (1102111233102), we get a palindrome (202434222434202).

The spelling of 201332111201100 in words is "two hundred one trillion, three hundred thirty-two billion, one hundred eleven million, two hundred one thousand, one hundred".