121121121000121 has 24 divisors (see below), whose sum is σ = 133188273497664. Its totient is φ = 110064513900000.

The previous prime is 121121121000091. The next prime is 121121121000151. The reversal of 121121121000121 is 121000121121121.

It is an interprime number because it is at equal distance from previous prime (121121121000091) and next prime (121121121000151).

It is not a de Polignac number, because 121121121000121 - 2¹⁹ = 121121120475833 is a prime.

It is a super-2 number, since 2×121121121000121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121121121000095 and 121121121000104.

It is not an unprimeable number, because it can be changed into a prime (121121121000151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4794774631 + ... + 4794799891.

It is an arithmetic number, because the mean of its divisors is an integer number (5549511395736).

Almost surely, 2^{121121121000121} is an apocalyptic number.

121121121000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121121121000121 is a deficient number, since it is larger than the sum of its proper divisors (12067152497543).

121121121000121 is a wasteful number, since it uses less digits than its factorization.

121121121000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40125 (or 40114 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 121121121000121 its reverse (121000121121121), we get a palindrome (242121242121242).

It can be divided in two parts, 121121121000 and 121, that added together give a palindrome (121121121121).

The spelling of 121121121000121 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-one", and thus it is an aban number.