100919100101 has 16 divisors (see below), whose sum is σ = 110725056000. Its totient is φ = 91554048768.

The previous prime is 100919100059. The next prime is 100919100119. The reversal of 100919100101 is 101001919001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100919100101 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 (100919100301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124436 + ... + 466178.

It is an arithmetic number, because the mean of its divisors is an integer number (6920316000).

Almost surely, 2^100919100101 is an apocalyptic number.

It is an amenable number.

100919100101 is a deficient number, since it is larger than the sum of its proper divisors (9805955899).

100919100101 is a wasteful number, since it uses less digits than its factorization.

100919100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342388.

The product of its (nonzero) digits is 81, while the sum is 23.

The spelling of 100919100101 in words is "one hundred billion, nine hundred nineteen million, one hundred thousand, one hundred one".