100100101000099 has 8 divisors (see below), whose sum is σ = 100158083825472. Its totient is φ = 100042119182400.

The previous prime is 100100101000051. The next prime is 100100101000111. The reversal of 100100101000099 is 990000101001001.

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 100100101000099 - 2³⁹ = 99550345186211 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100100101010099) 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, 305035062 + ... + 305363044.

It is an arithmetic number, because the mean of its divisors is an integer number (12519760478184).

Almost surely, 2^{100100101000099} is an apocalyptic number.

100100101000099 is a deficient number, since it is larger than the sum of its proper divisors (57982825373).

100100101000099 is a wasteful number, since it uses less digits than its factorization.

100100101000099 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503837.

The product of its (nonzero) digits is 81, while the sum is 22.

The spelling of 100100101000099 in words is "one hundred trillion, one hundred billion, one hundred one million, ninety-nine", and thus it is an aban number.