100110000112093 has 8 divisors (see below), whose sum is σ = 100397224151000. Its totient is φ = 99822778221888.

The previous prime is 100110000112091. The next prime is 100110000112151. The reversal of 100110000112093 is 390211000011001.

It can be written as a sum of positive squares in 4 ways, for example, as 21013221024324 + 79096779087769 = 4584018^2 + 8893637^2 .

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 100110000112093 - 2¹ = 100110000112091 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100110000112093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110000112091) 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, 173510155 + ... + 174086167.

It is an arithmetic number, because the mean of its divisors is an integer number (12549653018875).

Almost surely, 2^{100110000112093} is an apocalyptic number.

It is an amenable number.

100110000112093 is a deficient number, since it is larger than the sum of its proper divisors (287224038907).

100110000112093 is an equidigital number, since it uses as much as digits as its factorization.

100110000112093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074351.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 100110000112093 its reverse (390211000011001), we get a palindrome (490321000123094).

The spelling of 100110000112093 in words is "one hundred trillion, one hundred ten billion, one hundred twelve thousand, ninety-three".