10201111128 has 96 divisors (see below), whose sum is σ = 29827106400. Its totient is φ = 3131011584.

The previous prime is 10201111121. The next prime is 10201111163. The reversal of 10201111128 is 82111110201.

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 10201111128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201111121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 369501 + ... + 396147.

It is an arithmetic number, because the mean of its divisors is an integer number (310699025).

Almost surely, 2^10201111128 is an apocalyptic number.

10201111128 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 10201111128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14913553200).

10201111128 is an abundant number, since it is smaller than the sum of its proper divisors (19625995272).

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

10201111128 is a wasteful number, since it uses less digits than its factorization.

10201111128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27081 (or 27074 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 10201111128 its reverse (82111110201), we get a palindrome (92312221329).

The spelling of 10201111128 in words is "ten billion, two hundred one million, one hundred eleven thousand, one hundred twenty-eight".