10211121300 has 288 divisors, whose sum is σ = 31198003200. Its totient is φ = 2576471040.

The previous prime is 10211121293. The next prime is 10211121301. The reversal of 10211121300 is 312111201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211121301) 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, 99137049 + ... + 99137151.

It is an arithmetic number, because the mean of its divisors is an integer number (108326400).

Almost surely, 2^10211121300 is an apocalyptic number.

10211121300 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 10211121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15599001600).

10211121300 is an abundant number, since it is smaller than the sum of its proper divisors (20986881900).

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

10211121300 is a wasteful number, since it uses less digits than its factorization.

10211121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 328 counting only the distinct ones).

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

Adding to 10211121300 its reverse (312111201), we get a palindrome (10523232501).

The spelling of 10211121300 in words is "ten billion, two hundred eleven million, one hundred twenty-one thousand, three hundred".