100101110505 has 48 divisors (see below), whose sum is σ = 176776841472. Its totient is φ = 48332275200.

The previous prime is 100101110339. The next prime is 100101110507. The reversal of 100101110505 is 505011101001.

It is not a de Polignac number, because 100101110505 - 2¹⁰ = 100101109481 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (100101110507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 322992 + ... + 551838.

It is an arithmetic number, because the mean of its divisors is an integer number (3682850864).

Almost surely, 2^100101110505 is an apocalyptic number.

100101110505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100101110505 is a deficient number, since it is larger than the sum of its proper divisors (76675730967).

100101110505 is a wasteful number, since it uses less digits than its factorization.

100101110505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229118 (or 229107 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 15.

Adding to 100101110505 its reverse (505011101001), we get a palindrome (605112211506).

The spelling of 100101110505 in words is "one hundred billion, one hundred one million, one hundred ten thousand, five hundred five".