100121121 has 6 divisors (see below), whose sum is σ = 144619410. Its totient is φ = 66747408.

The previous prime is 100121111. The next prime is 100121123. The reversal of 100121121 is 121121001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 94187025 + 5934096 = 9705^2 + 2436^2 .

It is not a de Polignac number, because 100121121 - 2¹¹ = 100119073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11124569 = 100121121 / (1 + 0 + 0 + 1 + 2 + 1 + 1 + 2 + 1).

It is not an unprimeable number, because it can be changed into a prime (100121123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5562276 + ... + 5562293.

It is an arithmetic number, because the mean of its divisors is an integer number (24103235).

Almost surely, 2^100121121 is an apocalyptic number.

It is an amenable number.

100121121 is a deficient number, since it is larger than the sum of its proper divisors (44498289).

100121121 is a wasteful number, since it uses less digits than its factorization.

100121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11124575 (or 11124572 counting only the distinct ones).

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

The square root of 100121121 is about 10006.0542173226. The cubic root of 100121121 is about 464.3462057131.

Adding to 100121121 its reverse (121121001), we get a palindrome (221242122).

It can be divided in two parts, 1001 and 21121, that added together give a palindrome (22122).

The spelling of 100121121 in words is "one hundred million, one hundred twenty-one thousand, one hundred twenty-one".