301020020103 has 128 divisors (see below), whose sum is σ = 478681104384. Its totient is φ = 166399833600.

The previous prime is 301020020083. The next prime is 301020020131.

It is a happy number.

301020020103 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 301020020103 - 2²⁵ = 300986465671 is a prime.

It is a super-3 number, since 3×301020020103³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301020020143) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 444637801 + ... + 444638477.

It is an arithmetic number, because the mean of its divisors is an integer number (3739696128).

Almost surely, 2^301020020103 is an apocalyptic number.

301020020103 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

301020020103 is a deficient number, since it is larger than the sum of its proper divisors (177661084281).

301020020103 is a wasteful number, since it uses less digits than its factorization.

301020020103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045.

The product of its (nonzero) digits is 36, while the sum is 12.

It can be divided in two parts, 3010200 and 20103, that added together give a palindrome (3030303).

The spelling of 301020020103 in words is "three hundred one billion, twenty million, twenty thousand, one hundred three".