10221100121120 has 192 divisors, whose sum is σ = 28943029817856. Its totient is φ = 3334996008960.

The previous prime is 10221100121087. The next prime is 10221100121129. The reversal of 10221100121120 is 2112100112201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10221100121095 and 10221100121104.

It is not an unprimeable number, because it can be changed into a prime (10221100121129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4067660 + ... + 6081780.

It is an arithmetic number, because the mean of its divisors is an integer number (150744946968).

Almost surely, 2^{10221100121120} is an apocalyptic number.

10221100121120 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 10221100121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14471514908928).

10221100121120 is an abundant number, since it is smaller than the sum of its proper divisors (18721929696736).

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

10221100121120 is a wasteful number, since it uses less digits than its factorization.

10221100121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014363 (or 2014355 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10221100121120 its reverse (2112100112201), we get a palindrome (12333200233321).

The spelling of 10221100121120 in words is "ten trillion, two hundred twenty-one billion, one hundred million, one hundred twenty-one thousand, one hundred twenty".