100012103028 has 96 divisors (see below), whose sum is σ = 275588248320. Its totient is φ = 31256893440.

The previous prime is 100012103027. The next prime is 100012103033. The reversal of 100012103028 is 820301210001.

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 100012103028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012103027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379308 + ... + 586428.

It is an arithmetic number, because the mean of its divisors is an integer number (2870710920).

Almost surely, 2^100012103028 is an apocalyptic number.

100012103028 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 100012103028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137794124160).

100012103028 is an abundant number, since it is smaller than the sum of its proper divisors (175576145292).

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

100012103028 is a wasteful number, since it uses less digits than its factorization.

100012103028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207414 (or 207406 counting only the distinct ones).

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

Adding to 100012103028 its reverse (820301210001), we get a palindrome (920313313029).

The spelling of 100012103028 in words is "one hundred billion, twelve million, one hundred three thousand, twenty-eight".