10200103120 has 80 divisors (see below), whose sum is σ = 24279530832. Its totient is φ = 3984076800.

The previous prime is 10200103103. The next prime is 10200103183. The reversal of 10200103120 is 2130100201.

It can be written as a sum of positive squares in 8 ways, for example, as 12027024 + 10188076096 = 3468^2 + 100936^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10200103097 and 10200103106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581194 + ... + 598486.

Almost surely, 2^10200103120 is an apocalyptic number.

10200103120 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 10200103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12139765416).

10200103120 is an abundant number, since it is smaller than the sum of its proper divisors (14079427712).

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

10200103120 is a wasteful number, since it uses less digits than its factorization.

10200103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17480 (or 17474 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10200103120 its reverse (2130100201), we get a palindrome (12330203321).

The spelling of 10200103120 in words is "ten billion, two hundred million, one hundred three thousand, one hundred twenty".