10221122111200 has 432 divisors, whose sum is σ = 34100684072784. Its totient is φ = 2940740812800.

The previous prime is 10221122111183. The next prime is 10221122111201. The reversal of 10221122111200 is 211122112201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221122111201) 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, 4693912 + ... + 6517288.

It is an arithmetic number, because the mean of its divisors is an integer number (78936768687).

Almost surely, 2^{10221122111200} is an apocalyptic number.

10221122111200 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 10221122111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17050342036392).

10221122111200 is an abundant number, since it is smaller than the sum of its proper divisors (23879561961584).

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

10221122111200 is a wasteful number, since it uses less digits than its factorization.

10221122111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823435 (or 1823415 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10221122111200 its reverse (211122112201), we get a palindrome (10432244223401).

The spelling of 10221122111200 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred eleven thousand, two hundred".