10112101020300 has 288 divisors, whose sum is σ = 31011047165952. Its totient is φ = 2538720011520.

The previous prime is 10112101020257. The next prime is 10112101020313. The reversal of 10112101020300 is 302010121101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 602368507 + ... + 602385293.

It is an arithmetic number, because the mean of its divisors is an integer number (107677247104).

Almost surely, 2^{10112101020300} is an apocalyptic number.

10112101020300 is a gapful number since it is divisible by the number (10) 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 10112101020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15505523582976).

10112101020300 is an abundant number, since it is smaller than the sum of its proper divisors (20898946145652).

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

10112101020300 is a wasteful number, since it uses less digits than its factorization.

10112101020300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18197 (or 18190 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10112101020300 its reverse (302010121101), we get a palindrome (10414111141401).

The spelling of 10112101020300 in words is "ten trillion, one hundred twelve billion, one hundred one million, twenty thousand, three hundred".