103012221330018 has 192 divisors, whose sum is σ = 300980539641600. Its totient is φ = 24590381345280.

The previous prime is 103012221330017. The next prime is 103012221330071. The reversal of 103012221330018 is 810033122210301.

103012221330018 is a `hidden beast` number, since 1 + 0 + 301 + 2 + 2 + 21 + 330 + 0 + 1 + 8 = 666.

It is a super-2 number, since 2×103012221330018² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103012221329973 and 103012221330000.

It is not an unprimeable number, because it can be changed into a prime (103012221330017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8356813 + ... + 16609056.

It is an arithmetic number, because the mean of its divisors is an integer number (1567606977300).

Almost surely, 2^{103012221330018} is an apocalyptic number.

103012221330018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

103012221330018 is an abundant number, since it is smaller than the sum of its proper divisors (197968318311582).

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

103012221330018 is a wasteful number, since it uses less digits than its factorization.

103012221330018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24966137 (or 24966134 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 103012221330018 its reverse (810033122210301), we get a palindrome (913045343540319).

The spelling of 103012221330018 in words is "one hundred three trillion, twelve billion, two hundred twenty-one million, three hundred thirty thousand, eighteen".