103121113120 has 96 divisors (see below), whose sum is σ = 253973615616. Its totient is φ = 39522432000.

The previous prime is 103121113091. The next prime is 103121113169. The reversal of 103121113120 is 21311121301.

It is a happy number.

It is a super-2 number, since 2×103121113120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 103121113094 and 103121113103.

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, 398037 + ... + 603883.

It is an arithmetic number, because the mean of its divisors is an integer number (2645558496).

Almost surely, 2^103121113120 is an apocalyptic number.

103121113120 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 103121113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126986807808).

103121113120 is an abundant number, since it is smaller than the sum of its proper divisors (150852502496).

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

103121113120 is a wasteful number, since it uses less digits than its factorization.

103121113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205994 (or 205986 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 103121113120 its reverse (21311121301), we get a palindrome (124432234421).

The spelling of 103121113120 in words is "one hundred three billion, one hundred twenty-one million, one hundred thirteen thousand, one hundred twenty".