100101012093 has 48 divisors (see below), whose sum is σ = 155478286080. Its totient is φ = 61834171392.

The previous prime is 100101012079. The next prime is 100101012133. The reversal of 100101012093 is 390210101001.

It is not a de Polignac number, because 100101012093 - 2¹⁰ = 100101011069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101012013) 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 47 ways as a sum of consecutive naturals, for example, 6280188 + ... + 6296106.

It is an arithmetic number, because the mean of its divisors is an integer number (3239130960).

Almost surely, 2^100101012093 is an apocalyptic number.

It is an amenable number.

100101012093 is a deficient number, since it is larger than the sum of its proper divisors (55377273987).

100101012093 is a wasteful number, since it uses less digits than its factorization.

100101012093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16578 (or 16575 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 100101012093 its reverse (390210101001), we get a palindrome (490311113094).

The spelling of 100101012093 in words is "one hundred billion, one hundred one million, twelve thousand, ninety-three".