121112100202120 has 48 divisors (see below), whose sum is σ = 289474682431140. Its totient is φ = 45595143601152.

The previous prime is 121112100202109. The next prime is 121112100202123. The reversal of 121112100202120 is 21202001211121.

It can be written as a sum of positive squares in 6 ways, for example, as 111401734308804 + 9710365893316 = 10554702^2 + 3116146^2 .

It is a junction number, because it is equal to n+sod(n) for n = 121112100202094 and 121112100202103.

It is not an unprimeable number, because it can be changed into a prime (121112100202123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5238401079 + ... + 5238424198.

Almost surely, 2^{121112100202120} is an apocalyptic number.

121112100202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121112100202120 is an abundant number, since it is smaller than the sum of its proper divisors (168362582229020).

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

121112100202120 is a wasteful number, since it uses less digits than its factorization.

121112100202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10476825322 (or 10476825301 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121112100202120 its reverse (21202001211121), we get a palindrome (142314101413241).

The spelling of 121112100202120 in words is "one hundred twenty-one trillion, one hundred twelve billion, one hundred million, two hundred two thousand, one hundred twenty".