103122102272 has 192 divisors, whose sum is σ = 260374383360. Its totient is φ = 39784808448.

The previous prime is 103122102271. The next prime is 103122102313. The reversal of 103122102272 is 272201221301.

103122102272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (103122102271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5596178 + ... + 5614574.

It is an arithmetic number, because the mean of its divisors is an integer number (1356116580).

Almost surely, 2^103122102272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103122102272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130187191680).

103122102272 is an abundant number, since it is smaller than the sum of its proper divisors (157252281088).

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

103122102272 is a wasteful number, since it uses less digits than its factorization.

103122102272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18466 (or 18446 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

Adding to 103122102272 its reverse (272201221301), we get a palindrome (375323323573).

The spelling of 103122102272 in words is "one hundred three billion, one hundred twenty-two million, one hundred two thousand, two hundred seventy-two".