100120011121 has 8 divisors (see below), whose sum is σ = 107956845864. Its totient is φ = 92302504320.

The previous prime is 100120011097. The next prime is 100120011161. The reversal of 100120011121 is 121110021001.

It can be written as a sum of positive squares in 4 ways, for example, as 2110943025 + 98009068096 = 45945^2 + 313064^2 .

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

It is not a de Polignac number, because 100120011121 - 2⁷ = 100120010993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100120011098 and 100120011107.

It is not an unprimeable number, because it can be changed into a prime (100120011161) 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, 4821220 + ... + 4841941.

It is an arithmetic number, because the mean of its divisors is an integer number (13494605733).

Almost surely, 2^100120011121 is an apocalyptic number.

It is an amenable number.

100120011121 is a deficient number, since it is larger than the sum of its proper divisors (7836834743).

100120011121 is an equidigital number, since it uses as much as digits as its factorization.

100120011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9663971.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100120011121 its reverse (121110021001), we get a palindrome (221230032122).

The spelling of 100120011121 in words is "one hundred billion, one hundred twenty million, eleven thousand, one hundred twenty-one".