201233232313100 has 144 divisors (see below), whose sum is σ = 477306407997216. Its totient is φ = 73189315584000.

The previous prime is 201233232313097. The next prime is 201233232313117. The reversal of 201233232313100 is 1313232332102.

It is a super-2 number, since 2×201233232313100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 201233232313100.

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, 3024165830 + ... + 3024232370.

It is an arithmetic number, because the mean of its divisors is an integer number (3314627833314).

Almost surely, 2^{201233232313100} is an apocalyptic number.

201233232313100 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 201233232313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238653203998608).

201233232313100 is an abundant number, since it is smaller than the sum of its proper divisors (276073175684116).

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

201233232313100 is a wasteful number, since it uses less digits than its factorization.

201233232313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101356 (or 101349 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 201233232313100 its reverse (1313232332102), we get a palindrome (202546464645202).

The spelling of 201233232313100 in words is "two hundred one trillion, two hundred thirty-three billion, two hundred thirty-two million, three hundred thirteen thousand, one hundred".