10301112121300 has 576 divisors, whose sum is σ = 30808808110080. Its totient is φ = 2886117120000.

The previous prime is 10301112121259. The next prime is 10301112121379. The reversal of 10301112121300 is 312121110301.

It is a happy number.

It is a super-2 number, since 2×10301112121300² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 631923150 + ... + 631939450.

It is an arithmetic number, because the mean of its divisors is an integer number (53487514080).

Almost surely, 2^{10301112121300} is an apocalyptic number.

10301112121300 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 10301112121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15404404055040).

10301112121300 is an abundant number, since it is smaller than the sum of its proper divisors (20507695988780).

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

10301112121300 is a wasteful number, since it uses less digits than its factorization.

10301112121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16512 (or 16505 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10301112121300 its reverse (312121110301), we get a palindrome (10613233231601).

The spelling of 10301112121300 in words is "ten trillion, three hundred one billion, one hundred twelve million, one hundred twenty-one thousand, three hundred".