100000010100093 has 24 divisors (see below), whose sum is σ = 139393114829472. Its totient is φ = 63763264565088.

The previous prime is 100000010100071. The next prime is 100000010100143. The reversal of 100000010100093 is 390001010000001.

It is not a de Polignac number, because 100000010100093 - 2⁹ = 100000010099581 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000010107093) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18496155 + ... + 23283207.

It is an arithmetic number, because the mean of its divisors is an integer number (5808046451228).

Almost surely, 2^{100000010100093} is an apocalyptic number.

It is an amenable number.

100000010100093 is a deficient number, since it is larger than the sum of its proper divisors (39393104729379).

100000010100093 is a wasteful number, since it uses less digits than its factorization.

100000010100093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4800265 (or 4800242 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 100000010100093 its reverse (390001010000001), we get a palindrome (490001020100094).

The spelling of 100000010100093 in words is "one hundred trillion, ten million, one hundred thousand, ninety-three".