102121128 has 64 divisors (see below), whose sum is σ = 284596800. Its totient is φ = 33929280.

The previous prime is 102121109. The next prime is 102121133. The reversal of 102121128 is 821121201.

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 102121128.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90375 + ... + 91497.

It is an arithmetic number, because the mean of its divisors is an integer number (4446825).

Almost surely, 2^102121128 is an apocalyptic number.

102121128 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 102121128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142298400).

102121128 is an abundant number, since it is smaller than the sum of its proper divisors (182475672).

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

102121128 is a wasteful number, since it uses less digits than its factorization.

102121128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1549 counting only the distinct ones).

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

The square root of 102121128 is about 10105.4998886745. The cubic root of 102121128 is about 467.4177505984.

102121128 divided by its sum of digits (18) gives a triangular number (5673396 = T₃₃₆₈).

Adding to 102121128 its reverse (821121201), we get a palindrome (923242329).

The spelling of 102121128 in words is "one hundred two million, one hundred twenty-one thousand, one hundred twenty-eight".