100001000010093 has 128 divisors (see below), whose sum is σ = 178391455334400. Its totient is φ = 48338471347200.

The previous prime is 100001000010077. The next prime is 100001000010097. The reversal of 100001000010093 is 390010000100001.

It is not a de Polignac number, because 100001000010093 - 2⁴ = 100001000010077 is a prime.

It is a super-4 number, since 4×100001000010093⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001000010097) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 371145603 + ... + 371414943.

It is an arithmetic number, because the mean of its divisors is an integer number (1393683244800).

Almost surely, 2^{100001000010093} is an apocalyptic number.

100001000010093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100001000010093 is a deficient number, since it is larger than the sum of its proper divisors (78390455324307).

100001000010093 is a wasteful number, since it uses less digits than its factorization.

100001000010093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271723.

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

Adding to 100001000010093 its reverse (390010000100001), we get a palindrome (490011000110094).

The spelling of 100001000010093 in words is "one hundred trillion, one billion, ten thousand, ninety-three".