100505100101 has 8 divisors (see below), whose sum is σ = 116000229504. Its totient is φ = 85294285200.

The previous prime is 100505100097. The next prime is 100505100133. The reversal of 100505100101 is 101001505001.

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 100505100101 - 2² = 100505100097 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 (100505100181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71077865 + ... + 71079278.

It is an arithmetic number, because the mean of its divisors is an integer number (14500028688).

Almost surely, 2^100505100101 is an apocalyptic number.

It is an amenable number.

100505100101 is a deficient number, since it is larger than the sum of its proper divisors (15495129403).

100505100101 is a wasteful number, since it uses less digits than its factorization.

100505100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142157251.

The product of its (nonzero) digits is 25, while the sum is 14.

Adding to 100505100101 its reverse (101001505001), we get a palindrome (201506605102).

The spelling of 100505100101 in words is "one hundred billion, five hundred five million, one hundred thousand, one hundred one".