121120101 has 12 divisors (see below), whose sum is σ = 175457100. Its totient is φ = 80513280.

The previous prime is 121120099. The next prime is 121120123. The reversal of 121120101 is 101021121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 58155876 + 62964225 = 7626^2 + 7935^2 .

It is not a de Polignac number, because 121120101 - 2¹ = 121120099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121120141) 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 11 ways as a sum of consecutive naturals, for example, 16140 + ... + 22421.

It is an arithmetic number, because the mean of its divisors is an integer number (14621425).

Almost surely, 2^121120101 is an apocalyptic number.

It is an amenable number.

121120101 is a deficient number, since it is larger than the sum of its proper divisors (54336999).

121120101 is a wasteful number, since it uses less digits than its factorization.

121120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38916 (or 38913 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 121120101 is about 11005.4577823914. The cubic root of 121120101 is about 494.7723348531.

Adding to 121120101 its reverse (101021121), we get a palindrome (222141222).

It can be divided in two parts, 1211 and 20101, that added together give a palindrome (21312).

The spelling of 121120101 in words is "one hundred twenty-one million, one hundred twenty thousand, one hundred one".