102311303331100 has 72 divisors (see below), whose sum is σ = 228128454000720. Its totient is φ = 39798806238720.

The previous prime is 102311303331091. The next prime is 102311303331103. The reversal of 102311303331100 is 1133303113201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102311303331103) 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 23 ways as a sum of consecutive naturals, for example, 679056 + ... + 14320744.

It is an arithmetic number, because the mean of its divisors is an integer number (3168450750010).

Almost surely, 2^{102311303331100} is an apocalyptic number.

102311303331100 is a gapful number since it is divisible by the number (10) 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 102311303331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114064227000360).

102311303331100 is an abundant number, since it is smaller than the sum of its proper divisors (125817150669620).

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

102311303331100 is a wasteful number, since it uses less digits than its factorization.

102311303331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13643767 (or 13643760 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 102311303331100 its reverse (1133303113201), we get a palindrome (103444606444301).

The spelling of 102311303331100 in words is "one hundred two trillion, three hundred eleven billion, three hundred three million, three hundred thirty-one thousand, one hundred".