101203128 has 128 divisors (see below), whose sum is σ = 316108800. Its totient is φ = 29766528.

The previous prime is 101203099. The next prime is 101203163. The reversal of 101203128 is 821302101.

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 101203128.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63801 + ... + 65367.

It is an arithmetic number, because the mean of its divisors is an integer number (2469600).

Almost surely, 2^101203128 is an apocalyptic number.

101203128 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 101203128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158054400).

101203128 is an abundant number, since it is smaller than the sum of its proper divisors (214905672).

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

101203128 is a wasteful number, since it uses less digits than its factorization.

101203128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 101203128 is about 10059.9765407281. The cubic root of 101203128 is about 466.0129427168.

Adding to 101203128 its reverse (821302101), we get a palindrome (922505229).

The spelling of 101203128 in words is "one hundred one million, two hundred three thousand, one hundred twenty-eight".