100011110001102 has 96 divisors (see below), whose sum is σ = 225057715384320. Its totient is φ = 33286406055840.

The previous prime is 100011110001073. The next prime is 100011110001139. The reversal of 100011110001102 is 201100011110001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2426196852 + ... + 2426238072.

It is an arithmetic number, because the mean of its divisors is an integer number (2344351201920).

Almost surely, 2^{100011110001102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100011110001102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112528857692160).

100011110001102 is an abundant number, since it is smaller than the sum of its proper divisors (125046605383218).

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

100011110001102 is an equidigital number, since it uses as much as digits as its factorization.

100011110001102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48700 (or 48688 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100011110001102 its reverse (201100011110001), we get a palindrome (301111121111103).

The spelling of 100011110001102 in words is "one hundred trillion, eleven billion, one hundred ten million, one thousand, one hundred two".