103111322112 has 160 divisors (see below), whose sum is σ = 308073585600. Its totient is φ = 34048733184.

The previous prime is 103111322107. The next prime is 103111322141. The reversal of 103111322112 is 211223111301.

103111322112 is a `hidden beast` number, since 10 + 311 + 132 + 211 + 2 = 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1444314 + ... + 1514022.

It is an arithmetic number, because the mean of its divisors is an integer number (1925459910).

Almost surely, 2^103111322112 is an apocalyptic number.

103111322112 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 103111322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154036792800).

103111322112 is an abundant number, since it is smaller than the sum of its proper divisors (204962263488).

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

103111322112 is an equidigital number, since it uses as much as digits as its factorization.

103111322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69843 (or 69821 counting only the distinct ones).

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

Adding to 103111322112 its reverse (211223111301), we get a palindrome (314334433413).

The spelling of 103111322112 in words is "one hundred three billion, one hundred eleven million, three hundred twenty-two thousand, one hundred twelve".