121000121001 has 32 divisors (see below), whose sum is σ = 183421296000. Its totient is φ = 78811669440.

The previous prime is 121000120993. The next prime is 121000121057. The reversal of 121000121001 is 100121000121.

It is a happy number.

It is not a de Polignac number, because 121000121001 - 2³ = 121000120993 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 (121000123001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1131 + ... + 491936.

It is an arithmetic number, because the mean of its divisors is an integer number (5731915500).

Almost surely, 2^121000121001 is an apocalyptic number.

It is an amenable number.

121000121001 is a deficient number, since it is larger than the sum of its proper divisors (62421174999).

121000121001 is a wasteful number, since it uses less digits than its factorization.

121000121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493286 (or 493280 counting only the distinct ones).

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

Adding to 121000121001 its reverse (100121000121), we get a palindrome (221121121122).

The spelling of 121000121001 in words is "one hundred twenty-one billion, one hundred twenty-one thousand, one".