10100110111104 has 512 divisors, whose sum is σ = 30324633292800. Its totient is φ = 2957436518400.

The previous prime is 10100110111103. The next prime is 10100110111121. The reversal of 10100110111104 is 40111101100101.

10100110111104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 10100110111104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100110111103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2290791652 + ... + 2290796060.

It is an arithmetic number, because the mean of its divisors is an integer number (59227799400).

Almost surely, 2^{10100110111104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100110111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15162316646400).

10100110111104 is an abundant number, since it is smaller than the sum of its proper divisors (20224523181696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10100110111104 is a wasteful number, since it uses less digits than its factorization.

10100110111104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4714 (or 4702 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10100110111104 its reverse (40111101100101), we get a palindrome (50211211211205).

The spelling of 10100110111104 in words is "ten trillion, one hundred billion, one hundred ten million, one hundred eleven thousand, one hundred four".