10210103200 has 144 divisors (see below), whose sum is σ = 27598796064. Its totient is φ = 3657139200.

The previous prime is 10210103179. The next prime is 10210103209. The reversal of 10210103200 is 230101201.

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

It is not an unprimeable number, because it can be changed into a prime (10210103209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 580942 + ... + 598258.

It is an arithmetic number, because the mean of its divisors is an integer number (191658306).

Almost surely, 2^10210103200 is an apocalyptic number.

10210103200 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 10210103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13799398032).

10210103200 is an abundant number, since it is smaller than the sum of its proper divisors (17388692864).

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

10210103200 is a wasteful number, since it uses less digits than its factorization.

10210103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17415 (or 17402 counting only the distinct ones).

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

Adding to 10210103200 its reverse (230101201), we get a palindrome (10440204401).

The spelling of 10210103200 in words is "ten billion, two hundred ten million, one hundred three thousand, two hundred".