10300101123312 has 720 divisors, whose sum is σ = 39079622632960. Its totient is φ = 2464299002880.

The previous prime is 10300101123293. The next prime is 10300101123353. The reversal of 10300101123312 is 21332110100301.

10300101123312 is a `hidden beast` number, since 10 + 300 + 10 + 1 + 12 + 331 + 2 = 666.

It is a super-3 number, since 3×10300101123312³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 772172739 + ... + 772186077.

Almost surely, 2^{10300101123312} is an apocalyptic number.

10300101123312 is a gapful number since it is divisible by the number (12) 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 10300101123312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19539811316480).

10300101123312 is an abundant number, since it is smaller than the sum of its proper divisors (28779521509648).

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

10300101123312 is a wasteful number, since it uses less digits than its factorization.

10300101123312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13882 (or 13862 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10300101123312 its reverse (21332110100301), we get a palindrome (31632211223613).

The spelling of 10300101123312 in words is "ten trillion, three hundred billion, one hundred one million, one hundred twenty-three thousand, three hundred twelve".