101101110100003 has 8 divisors (see below), whose sum is σ = 109425244796000. Its totient is φ = 92855136293568.

The previous prime is 101101110099961. The next prime is 101101110100007. The reversal of 101101110100003 is 300001011101101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101101110100003 - 2¹³ = 101101110091811 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101101110100007) 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 7 ways as a sum of consecutive naturals, for example, 19540219698 + ... + 19540224871.

It is an arithmetic number, because the mean of its divisors is an integer number (13678155599500).

Almost surely, 2^{101101110100003} is an apocalyptic number.

101101110100003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101101110100003 is a deficient number, since it is larger than the sum of its proper divisors (8324134695997).

101101110100003 is a wasteful number, since it uses less digits than its factorization.

101101110100003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39080444781.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 101101110100003 its reverse (300001011101101), we get a palindrome (401102121201104).

The spelling of 101101110100003 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, one hundred thousand, three".