10111200311300 has 288 divisors, whose sum is σ = 26303730203520. Its totient is φ = 3330251366400.

The previous prime is 10111200311269. The next prime is 10111200311309. The reversal of 10111200311300 is 311300211101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10111200311309) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 166455734 + ... + 166516466.

It is an arithmetic number, because the mean of its divisors is an integer number (91332396540).

Almost surely, 2^{10111200311300} is an apocalyptic number.

10111200311300 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 10111200311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13151865101760).

10111200311300 is an abundant number, since it is smaller than the sum of its proper divisors (16192529892220).

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

10111200311300 is a wasteful number, since it uses less digits than its factorization.

10111200311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61111 (or 61104 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10111200311300 its reverse (311300211101), we get a palindrome (10422500522401).

The spelling of 10111200311300 in words is "ten trillion, one hundred eleven billion, two hundred million, three hundred eleven thousand, three hundred".