10500201312 has 24 divisors (see below), whose sum is σ = 27563028696. Its totient is φ = 3500067072.

The previous prime is 10500201281. The next prime is 10500201323. The reversal of 10500201312 is 21310200501.

10500201312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10500201312² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10500201291 and 10500201300.

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 3 ways as a sum of consecutive naturals, for example, 54688453 + ... + 54688644.

It is an arithmetic number, because the mean of its divisors is an integer number (1148459529).

Almost surely, 2^10500201312 is an apocalyptic number.

10500201312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10500201312 is an abundant number, since it is smaller than the sum of its proper divisors (17062827384).

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

10500201312 is a wasteful number, since it uses less digits than its factorization.

10500201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109377110 (or 109377102 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 10500201312 its reverse (21310200501), we get a palindrome (31810401813).

The spelling of 10500201312 in words is "ten billion, five hundred million, two hundred one thousand, three hundred twelve".