10121221120 has 88 divisors (see below), whose sum is σ = 24314085864. Its totient is φ = 4042653696.

The previous prime is 10121221111. The next prime is 10121221147. The reversal of 10121221120 is 2112212101.

It can be written as a sum of positive squares in 4 ways, for example, as 551686144 + 9569534976 = 23488^2 + 97824^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10121221120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6107332 + ... + 6108988.

Almost surely, 2^10121221120 is an apocalyptic number.

10121221120 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 10121221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12157042932).

10121221120 is an abundant number, since it is smaller than the sum of its proper divisors (14192864744).

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

10121221120 is a wasteful number, since it uses less digits than its factorization.

10121221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10121221120 its reverse (2112212101), we get a palindrome (12233433221).

The spelling of 10121221120 in words is "ten billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty".