203311012011102 has 192 divisors, whose sum is σ = 468264774781440. Its totient is φ = 63620921346048.

The previous prime is 203311012011071. The next prime is 203311012011113. The reversal of 203311012011102 is 201110210113302.

203311012011102 is a `hidden beast` number, since 20 + 331 + 1 + 0 + 1 + 201 + 110 + 2 = 666.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 14613017698 + ... + 14613031610.

It is an arithmetic number, because the mean of its divisors is an integer number (2438879035320).

Almost surely, 2^{203311012011102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203311012011102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234132387390720).

203311012011102 is an abundant number, since it is smaller than the sum of its proper divisors (264953762770338).

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

203311012011102 is a wasteful number, since it uses less digits than its factorization.

203311012011102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16799 (or 16796 counting only the distinct ones).

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

Adding to 203311012011102 its reverse (201110210113302), we get a palindrome (404421222124404).

The spelling of 203311012011102 in words is "two hundred three trillion, three hundred eleven billion, twelve million, eleven thousand, one hundred two".