103010223120 has 160 divisors (see below), whose sum is σ = 365545675008. Its totient is φ = 23506796544.

The previous prime is 103010223109. The next prime is 103010223149. The reversal of 103010223120 is 21322010301.

It is a super-3 number, since 3×103010223120³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 103010223120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 986872 + ... + 1086248.

Almost surely, 2^103010223120 is an apocalyptic number.

103010223120 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 103010223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182772837504).

103010223120 is an abundant number, since it is smaller than the sum of its proper divisors (262535451888).

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

103010223120 is a wasteful number, since it uses less digits than its factorization.

103010223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100017 (or 100011 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 103010223120 its reverse (21322010301), we get a palindrome (124332233421).

The spelling of 103010223120 in words is "one hundred three billion, ten million, two hundred twenty-three thousand, one hundred twenty".