121102128 has 150 divisors (see below), whose sum is σ = 407943756. Its totient is φ = 34582464.

The previous prime is 121102049. The next prime is 121102129. The reversal of 121102128 is 821201121.

It is a super-2 number, since 2×121102128² = 29331450812256768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 121102128.

It is not an unprimeable number, because it can be changed into a prime (121102129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 62551 + ... + 64457.

Almost surely, 2^121102128 is an apocalyptic number.

121102128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121102128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203971878).

121102128 is an abundant number, since it is smaller than the sum of its proper divisors (286841628).

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

121102128 is a wasteful number, since it uses less digits than its factorization.

121102128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 121102128 is about 11004.6412026926. The cubic root of 121102128 is about 494.7478605696.

Adding to 121102128 its reverse (821201121), we get a palindrome (942303249).

The spelling of 121102128 in words is "one hundred twenty-one million, one hundred two thousand, one hundred twenty-eight".