100103333101 has 16 divisors (see below), whose sum is σ = 105583694400. Its totient is φ = 94644374400.

The previous prime is 100103333041. The next prime is 100103333107. The reversal of 100103333101 is 101333301001.

It is a cyclic number.

It is not a de Polignac number, because 100103333101 - 2¹⁷ = 100103202029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100103333107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25476105 + ... + 25480033.

It is an arithmetic number, because the mean of its divisors is an integer number (6598980900).

Almost surely, 2^100103333101 is an apocalyptic number.

It is an amenable number.

100103333101 is a deficient number, since it is larger than the sum of its proper divisors (5480361299).

100103333101 is a wasteful number, since it uses less digits than its factorization.

100103333101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6300.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 100103333101 its reverse (101333301001), we get a palindrome (201436634102).

The spelling of 100103333101 in words is "one hundred billion, one hundred three million, three hundred thirty-three thousand, one hundred one".