100606717101 has 16 divisors (see below), whose sum is σ = 151057594368. Its totient is φ = 59006871600.

The previous prime is 100606717097. The next prime is 100606717153. The reversal of 100606717101 is 101717606001.

It is not a de Polignac number, because 100606717101 - 2² = 100606717097 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100606715101) 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 15 ways as a sum of consecutive naturals, for example, 49171371 + ... + 49173416.

It is an arithmetic number, because the mean of its divisors is an integer number (9441099648).

Almost surely, 2^100606717101 is an apocalyptic number.

100606717101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100606717101 is a deficient number, since it is larger than the sum of its proper divisors (50450877267).

100606717101 is a wasteful number, since it uses less digits than its factorization.

100606717101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98344832.

The product of its (nonzero) digits is 1764, while the sum is 30.

Subtracting 100606717101 from its reverse (101717606001), we obtain a square (1110888900 = 33330²).

The spelling of 100606717101 in words is "one hundred billion, six hundred six million, seven hundred seventeen thousand, one hundred one".