100101101000093 has 8 divisors (see below), whose sum is σ = 105995507103360. Its totient is φ = 94207373346240.

The previous prime is 100101101000029. The next prime is 100101101000123. The reversal of 100101101000093 is 390000101101001.

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 100101101000093 - 2⁶ = 100101101000029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101101000393) 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, 169308563 + ... + 169898768.

It is an arithmetic number, because the mean of its divisors is an integer number (13249438387920).

Almost surely, 2^{100101101000093} is an apocalyptic number.

It is an amenable number.

100101101000093 is a deficient number, since it is larger than the sum of its proper divisors (5894406103267).

100101101000093 is a wasteful number, since it uses less digits than its factorization.

100101101000093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339224707.

The product of its (nonzero) digits is 27, while the sum is 17.

Adding to 100101101000093 its reverse (390000101101001), we get a palindrome (490101202101094).

The spelling of 100101101000093 in words is "one hundred trillion, one hundred one billion, one hundred one million, ninety-three", and thus it is an aban number.