100103025303501 has 12 divisors (see below), whose sum is σ = 146707464081696. Its totient is φ = 60668500183720.

The previous prime is 100103025303497. The next prime is 100103025303539. The reversal of 100103025303501 is 105303520301001.

It is not a de Polignac number, because 100103025303501 - 2² = 100103025303497 is a prime.

It is a super-3 number, since 3×100103025303501³ (a number of 43 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 (100103025305501) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137882954601 + ... + 137882955326.

It is an arithmetic number, because the mean of its divisors is an integer number (12225622006808).

Almost surely, 2^{100103025303501} is an apocalyptic number.

100103025303501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100103025303501 is a deficient number, since it is larger than the sum of its proper divisors (46604438778195).

100103025303501 is a wasteful number, since it uses less digits than its factorization.

100103025303501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275765909952 (or 275765909941 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

Adding to 100103025303501 its reverse (105303520301001), we get a palindrome (205406545604502).

The spelling of 100103025303501 in words is "one hundred trillion, one hundred three billion, twenty-five million, three hundred three thousand, five hundred one".