120121001102120 has 64 divisors (see below), whose sum is σ = 279682505802000. Its totient is φ = 46376539353088.

The previous prime is 120121001102111. The next prime is 120121001102129. The reversal of 120121001102120 is 21201100121021.

It is an interprime number because it is at equal distance from previous prime (120121001102111) and next prime (120121001102129).

It can be written as a sum of positive squares in 8 ways, for example, as 109065814997764 + 11055186104356 = 10443458^2 + 3324934^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120121001102095 and 120121001102104.

It is not an unprimeable number, because it can be changed into a prime (120121001102129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13178267 + ... + 20344746.

Almost surely, 2^{120121001102120} is an apocalyptic number.

120121001102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120121001102120 is an abundant number, since it is smaller than the sum of its proper divisors (159561504699880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120121001102120 is a wasteful number, since it uses less digits than its factorization.

120121001102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33526142 (or 33526138 counting only the distinct ones).

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

Adding to 120121001102120 its reverse (21201100121021), we get a palindrome (141322101223141).

The spelling of 120121001102120 in words is "one hundred twenty trillion, one hundred twenty-one billion, one million, one hundred two thousand, one hundred twenty".