121100110001 has 8 divisors (see below), whose sum is σ = 130465297704. Its totient is φ = 111742035840.

The previous prime is 121100109881. The next prime is 121100110009. The reversal of 121100110001 is 100011001121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8488858225 + 112611251776 = 92135^2 + 335576^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 121100110001 - 2¹⁰ = 121100108977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121100110009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1742996 + ... + 1811141.

It is an arithmetic number, because the mean of its divisors is an integer number (16308162213).

Almost surely, 2^121100110001 is an apocalyptic number.

It is an amenable number.

121100110001 is a deficient number, since it is larger than the sum of its proper divisors (9365187703).

121100110001 is a wasteful number, since it uses less digits than its factorization.

121100110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556771.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 121100110001 its reverse (100011001121), we get a palindrome (221111111122).

The spelling of 121100110001 in words is "one hundred twenty-one billion, one hundred million, one hundred ten thousand, one".