10011122311300 has 72 divisors (see below), whose sum is σ = 23707471062240. Its totient is φ = 3639115603200.

The previous prime is 10011122311279. The next prime is 10011122311303. The reversal of 10011122311300 is 311322111001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10011122311303) 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, 1486672 + ... + 4715128.

It is an arithmetic number, because the mean of its divisors is an integer number (329270431420).

Almost surely, 2^{10011122311300} is an apocalyptic number.

10011122311300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011122311300 is an abundant number, since it is smaller than the sum of its proper divisors (13696348750940).

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

10011122311300 is a wasteful number, since it uses less digits than its factorization.

10011122311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3231301 (or 3231294 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10011122311300 its reverse (311322111001), we get a palindrome (10322444422301).

The spelling of 10011122311300 in words is "ten trillion, eleven billion, one hundred twenty-two million, three hundred eleven thousand, three hundred".