100915101 has 24 divisors (see below), whose sum is σ = 166886720. Its totient is φ = 57563136.

The previous prime is 100915097. The next prime is 100915103. The reversal of 100915101 is 101519001.

It is not a de Polignac number, because 100915101 - 2² = 100915097 is a prime.

It is a super-3 number, since 3×100915101³ (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100915103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47406 + ... + 49488.

Almost surely, 2^100915101 is an apocalyptic number.

It is an amenable number.

100915101 is a deficient number, since it is larger than the sum of its proper divisors (65971619).

100915101 is a wasteful number, since it uses less digits than its factorization.

100915101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 18.

The square root of 100915101 is about 10045.6508499947. The cubic root of 100915101 is about 465.5704272543.

It can be divided in two parts, 1009 and 15101, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 100915101 in words is "one hundred million, nine hundred fifteen thousand, one hundred one".