100102100000093 has 8 divisors (see below), whose sum is σ = 103341104599296. Its totient is φ = 96863714438400.

The previous prime is 100102100000087. The next prime is 100102100000099. The reversal of 100102100000093 is 390000001201001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100102100000087) and next prime (100102100000099).

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 100102100000093 - 2²⁶ = 100102032891229 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 (100102100000099) 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, 154430723 + ... + 155077568.

It is an arithmetic number, because the mean of its divisors is an integer number (12917638074912).

Almost surely, 2^{100102100000093} is an apocalyptic number.

It is an amenable number.

100102100000093 is a deficient number, since it is larger than the sum of its proper divisors (3239004599203).

100102100000093 is a wasteful number, since it uses less digits than its factorization.

100102100000093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309518755.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 100102100000093 its reverse (390000001201001), we get a palindrome (490102101201094).

The spelling of 100102100000093 in words is "one hundred trillion, one hundred two billion, one hundred million, ninety-three", and thus it is an aban number.