10301152512 has 144 divisors (see below), whose sum is σ = 31574011392. Its totient is φ = 2920519680.

The previous prime is 10301152487. The next prime is 10301152549. The reversal of 10301152512 is 21525110301.

10301152512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10301152512² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 696943 + ... + 711569.

It is an arithmetic number, because the mean of its divisors is an integer number (219263968).

Almost surely, 2^10301152512 is an apocalyptic number.

10301152512 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 10301152512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15787005696).

10301152512 is an abundant number, since it is smaller than the sum of its proper divisors (21272858880).

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

10301152512 is a wasteful number, since it uses less digits than its factorization.

10301152512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14784 (or 14770 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

Adding to 10301152512 its reverse (21525110301), we get a palindrome (31826262813).

The spelling of 10301152512 in words is "ten billion, three hundred one million, one hundred fifty-two thousand, five hundred twelve".