10211200210300 has 216 divisors, whose sum is σ = 23652767903744. Its totient is φ = 3825594178560.

The previous prime is 10211200210273. The next prime is 10211200210307. The reversal of 10211200210300 is 301200211201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211200210307) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6516400117 + ... + 6516401683.

Almost surely, 2^{10211200210300} is an apocalyptic number.

10211200210300 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 10211200210300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11826383951872).

10211200210300 is an abundant number, since it is smaller than the sum of its proper divisors (13441567693444).

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

10211200210300 is a wasteful number, since it uses less digits than its factorization.

10211200210300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10211200210300 its reverse (301200211201), we get a palindrome (10512400421501).

Subtracting from 10211200210300 its reverse (301200211201), we obtain a palindrome (9909999999099).

The spelling of 10211200210300 in words is "ten trillion, two hundred eleven billion, two hundred million, two hundred ten thousand, three hundred".