100110011011121 has 8 divisors (see below), whose sum is σ = 100129990488360. Its totient is φ = 100090032352128.

The previous prime is 100110011011111. The next prime is 100110011011169. The reversal of 100110011011121 is 121110110011001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14245491462400 + 85864519548721 = 3774320^2 + 9266311^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100110011011121 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100110011011111) 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, 283108895 + ... + 283462283.

It is an arithmetic number, because the mean of its divisors is an integer number (12516248811045).

Almost surely, 2^{100110011011121} is an apocalyptic number.

It is an amenable number.

100110011011121 is a deficient number, since it is larger than the sum of its proper divisors (19979477239).

100110011011121 is an equidigital number, since it uses as much as digits as its factorization.

100110011011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409123.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 100110011011121 its reverse (121110110011001), we get a palindrome (221220121022122).

The spelling of 100110011011121 in words is "one hundred trillion, one hundred ten billion, eleven million, eleven thousand, one hundred twenty-one".