10502112100 has 72 divisors (see below), whose sum is σ = 24539366880. Its totient is φ = 3886686720.

The previous prime is 10502112053. The next prime is 10502112107. The reversal of 10502112100 is 121120501.

10502112100 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 2×10502112100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10502112107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 47947 + ... + 152653.

It is an arithmetic number, because the mean of its divisors is an integer number (340824540).

Almost surely, 2^10502112100 is an apocalyptic number.

10502112100 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 10502112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12269683440).

10502112100 is an abundant number, since it is smaller than the sum of its proper divisors (14037254780).

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

10502112100 is a wasteful number, since it uses less digits than its factorization.

10502112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104797 (or 104790 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

Adding to 10502112100 its reverse (121120501), we get a palindrome (10623232601).

The spelling of 10502112100 in words is "ten billion, five hundred two million, one hundred twelve thousand, one hundred".