100505006101 has 8 divisors (see below), whose sum is σ = 104160446208. Its totient is φ = 96875400000.

The previous prime is 100505006083. The next prime is 100505006113. The reversal of 100505006101 is 101600505001.

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 100505006101 - 2⁷ = 100505005973 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 (100505006131) 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, 6450580 + ... + 6466141.

It is an arithmetic number, because the mean of its divisors is an integer number (13020055776).

Almost surely, 2^100505006101 is an apocalyptic number.

It is an amenable number.

100505006101 is a deficient number, since it is larger than the sum of its proper divisors (3655440107).

100505006101 is a wasteful number, since it uses less digits than its factorization.

100505006101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12917003.

The product of its (nonzero) digits is 150, while the sum is 19.

The spelling of 100505006101 in words is "one hundred billion, five hundred five million, six thousand, one hundred one".