100101100111121 has 4 divisors (see below), whose sum is σ = 100101162739200. Its totient is φ = 100101037483044.

The previous prime is 100101100111073. The next prime is 100101100111267. The reversal of 100101100111121 is 121111001101001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100101100111121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101100117121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28852001 + ... + 32134718.

It is an arithmetic number, because the mean of its divisors is an integer number (25025290684800).

Almost surely, 2^{100101100111121} is an apocalyptic number.

It is an amenable number.

100101100111121 is a deficient number, since it is larger than the sum of its proper divisors (62628079).

100101100111121 is an equidigital number, since it uses as much as digits as its factorization.

100101100111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62628078.

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

Adding to 100101100111121 its reverse (121111001101001), we get a palindrome (221212101212122).

The spelling of 100101100111121 in words is "one hundred trillion, one hundred one billion, one hundred million, one hundred eleven thousand, one hundred twenty-one".