120121120121 has 8 divisors (see below), whose sum is σ = 121323700488. Its totient is φ = 118918800000.

The previous prime is 120121120109. The next prime is 120121120153. The reversal of 120121120121 is 121021121021.

It can be written as a sum of positive squares in 4 ways, for example, as 97571893225 + 22549226896 = 312365^2 + 150164^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 120121120121 - 2¹⁴ = 120121103737 is a prime.

It is a super-2 number, since 2×120121120121² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120121120096 and 120121120105.

It is not an unprimeable number, because it can be changed into a prime (120121120421) 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, 939941 + ... + 1060061.

It is an arithmetic number, because the mean of its divisors is an integer number (15165462561).

Almost surely, 2^120121120121 is an apocalyptic number.

It is an amenable number.

120121120121 is a deficient number, since it is larger than the sum of its proper divisors (1202580367).

120121120121 is a wasteful number, since it uses less digits than its factorization.

120121120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130123.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120121120121 its reverse (121021121021), we get a palindrome (241142241142).

The spelling of 120121120121 in words is "one hundred twenty billion, one hundred twenty-one million, one hundred twenty thousand, one hundred twenty-one".