121120121122121 has 8 divisors (see below), whose sum is σ = 133439269356288. Its totient is φ = 109019010910000.

The previous prime is 121120121122003. The next prime is 121120121122159. The reversal of 121120121122121 is 121221121021121.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-121120121122121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121120121122093 and 121120121122102.

It is not an unprimeable number, because it can be changed into a prime (121120121122181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54509504345 + ... + 54509506566.

It is an arithmetic number, because the mean of its divisors is an integer number (16679908669536).

Almost surely, 2^{121120121122121} is an apocalyptic number.

121120121122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121120121122121 is a deficient number, since it is larger than the sum of its proper divisors (12319148234167).

121120121122121 is a wasteful number, since it uses less digits than its factorization.

121120121122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109019011023.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 121120121122121 its reverse (121221121021121), we get a palindrome (242341242143242).

It can be divided in two parts, 1211201 and 21122121, that added together give a palindrome (22333322).

The spelling of 121120121122121 in words is "one hundred twenty-one trillion, one hundred twenty billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty-one".