100101100101101 has 8 divisors (see below), whose sum is σ = 110282400112608. Its totient is φ = 90100000090000.

The previous prime is 100101100101097. The next prime is 100101100101187. The reversal of 100101100101101 is 101101001101001.

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 100101100101101 - 2² = 100101100101097 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 (100101100100101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45049998935 + ... + 45050001156.

It is an arithmetic number, because the mean of its divisors is an integer number (13785300014076).

Almost surely, 2^{100101100101101} is an apocalyptic number.

100101100101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101100101101 is a deficient number, since it is larger than the sum of its proper divisors (10181300011507).

100101100101101 is a wasteful number, since it uses less digits than its factorization.

100101100101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90100000203.

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

Adding to 100101100101101 its reverse (101101001101001), we get a palindrome (201202101202102).

The spelling of 100101100101101 in words is "one hundred trillion, one hundred one billion, one hundred million, one hundred one thousand, one hundred one".