102113111232 has 168 divisors, whose sum is σ = 319465250832. Its totient is φ = 30927052800.

The previous prime is 102113111227. The next prime is 102113111237. The reversal of 102113111232 is 232111311201.

102113111232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (102113111227) and next prime (102113111237).

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

It is not an unprimeable number, because it can be changed into a prime (102113111237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18099132 + ... + 18104772.

It is an arithmetic number, because the mean of its divisors is an integer number (1901578874).

Almost surely, 2^102113111232 is an apocalyptic number.

102113111232 is a gapful number since it is divisible by the number (12) 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 102113111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159732625416).

102113111232 is an abundant number, since it is smaller than the sum of its proper divisors (217352139600).

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

102113111232 is a wasteful number, since it uses less digits than its factorization.

102113111232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8527 (or 8514 counting only the distinct ones).

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

Adding to 102113111232 its reverse (232111311201), we get a palindrome (334224422433).

The spelling of 102113111232 in words is "one hundred two billion, one hundred thirteen million, one hundred eleven thousand, two hundred thirty-two".