100110001100011 has 6 divisors (see below), whose sum is σ = 116454491075580. Its totient is φ = 85808572371396.

The previous prime is 100110001099973. The next prime is 100110001100029. The reversal of 100110001100011 is 110001100011001.

It is a happy number.

It is not a de Polignac number, because 100110001100011 - 2³³ = 100101411165419 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 100110001099967 and 100110001100003.

It is not an unprimeable number, because it can be changed into a prime (100110001100611) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1021530623421 + ... + 1021530623518.

It is an arithmetic number, because the mean of its divisors is an integer number (19409081845930).

Almost surely, 2^{100110001100011} is an apocalyptic number.

100110001100011 is a deficient number, since it is larger than the sum of its proper divisors (16344489975569).

100110001100011 is an equidigital number, since it uses as much as digits as its factorization.

100110001100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043061246953 (or 2043061246946 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100110001100011 its reverse (110001100011001), we get a palindrome (210111101111012).

The spelling of 100110001100011 in words is "one hundred trillion, one hundred ten billion, one million, one hundred thousand, eleven".