100101110100101 has 8 divisors (see below), whose sum is σ = 110282411128608. Its totient is φ = 90100009090000.

The previous prime is 100101110100083. The next prime is 100101110100143. The reversal of 100101110100101 is 101001011101001.

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 100101110100101 - 2⁶ = 100101110100037 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 (100101110100401) 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, 45050003435 + ... + 45050005656.

It is an arithmetic number, because the mean of its divisors is an integer number (13785301391076).

Almost surely, 2^{100101110100101} is an apocalyptic number.

100101110100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101110100101 is a deficient number, since it is larger than the sum of its proper divisors (10181301028507).

100101110100101 is a wasteful number, since it uses less digits than its factorization.

100101110100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90100009203.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100101110100101 its reverse (101001011101001), we get a palindrome (201102121201102).

It can be divided in two parts, 10010 and 1110100101, that added together give a palindrome (1110110111).

The spelling of 100101110100101 in words is "one hundred trillion, one hundred one billion, one hundred ten million, one hundred thousand, one hundred one".