103122220110 has 256 divisors, whose sum is σ = 314958163968. Its totient is φ = 21026304000.

The previous prime is 103122220093. The next prime is 103122220129. The reversal of 103122220110 is 11022221301.

103122220110 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103122220110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15249130 + ... + 15255890.

It is an arithmetic number, because the mean of its divisors is an integer number (1230305328).

Almost surely, 2^103122220110 is an apocalyptic number.

103122220110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103122220110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157479081984).

103122220110 is an abundant number, since it is smaller than the sum of its proper divisors (211835943858).

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

103122220110 is a wasteful number, since it uses less digits than its factorization.

103122220110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6979.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 103122220110 its reverse (11022221301), we get a palindrome (114144441411).

The spelling of 103122220110 in words is "one hundred three billion, one hundred twenty-two million, two hundred twenty thousand, one hundred ten".