10125332100 has 180 divisors, whose sum is σ = 35347488484. Its totient is φ = 2492363520.

The previous prime is 10125332089. The next prime is 10125332167. The reversal of 10125332100 is 123352101.

It can be written as a sum of positive squares in 6 ways, for example, as 8191044 + 10117141056 = 2862^2 + 100584^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 57222 + ... + 153378.

Almost surely, 2^10125332100 is an apocalyptic number.

10125332100 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 10125332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17673744242).

10125332100 is an abundant number, since it is smaller than the sum of its proper divisors (25222156384).

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

10125332100 is a wasteful number, since it uses less digits than its factorization.

10125332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96196 (or 96180 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 10125332100 its reverse (123352101), we get a palindrome (10248684201).

It can be divided in two parts, 10125 and 332100, that added together give a square (342225 = 585²).

The spelling of 10125332100 in words is "ten billion, one hundred twenty-five million, three hundred thirty-two thousand, one hundred".