100000121121 has 12 divisors (see below), whose sum is σ = 144536118480. Its totient is φ = 66624517080.

The previous prime is 100000121059. The next prime is 100000121141. The reversal of 100000121121 is 121121000001.

It is a happy number.

It is not a de Polignac number, because 100000121121 - 2⁷ = 100000120993 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (100000121141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3504195 + ... + 3532616.

It is an arithmetic number, because the mean of its divisors is an integer number (12044676540).

Almost surely, 2^100000121121 is an apocalyptic number.

It is an amenable number.

100000121121 is a deficient number, since it is larger than the sum of its proper divisors (44535997359).

100000121121 is a wasteful number, since it uses less digits than its factorization.

100000121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7038396 (or 7038393 counting only the distinct ones).

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

Adding to 100000121121 its reverse (121121000001), we get a palindrome (221121121122).

The spelling of 100000121121 in words is "one hundred billion, one hundred twenty-one thousand, one hundred twenty-one".