100011211121 has 4 divisors (see below), whose sum is σ = 104359524672. Its totient is φ = 95662897572.

The previous prime is 100011211093. The next prime is 100011211129. The reversal of 100011211121 is 121112110001.

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, and also an emirpimes, since its reverse is a distinct semiprime: 121112110001 = 19 ⋅6374321579.

It is a cyclic number.

It is not a de Polignac number, because 100011211121 - 2¹⁰ = 100011210097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100011211129) 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, 2174156741 + ... + 2174156786.

It is an arithmetic number, because the mean of its divisors is an integer number (26089881168).

Almost surely, 2^100011211121 is an apocalyptic number.

It is an amenable number.

100011211121 is a deficient number, since it is larger than the sum of its proper divisors (4348313551).

100011211121 is an equidigital number, since it uses as much as digits as its factorization.

100011211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4348313550.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100011211121 its reverse (121112110001), we get a palindrome (221123321122).

It can be divided in two parts, 10001 and 1211121, that multiplied together give a palindrome (12112421121).

The spelling of 100011211121 in words is "one hundred billion, eleven million, two hundred eleven thousand, one hundred twenty-one".