10101221101120 has 28 divisors (see below), whose sum is σ = 24053532747804. Its totient is φ = 4040488440320.

The previous prime is 10101221101091. The next prime is 10101221101121. The reversal of 10101221101120 is 2110112210101.

It is a happy number.

10101221101120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3904228231744 + 6196992869376 = 1975912^2 + 2489376^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10101221101120.

It is not an unprimeable number, because it can be changed into a prime (10101221101121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15783157651 + ... + 15783158290.

It is an arithmetic number, because the mean of its divisors is an integer number (859054740993).

Almost surely, 2^{10101221101120} is an apocalyptic number.

10101221101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101221101120 is an abundant number, since it is smaller than the sum of its proper divisors (13952311646684).

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

10101221101120 is an equidigital number, since it uses as much as digits as its factorization.

10101221101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31566315958 (or 31566315948 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10101221101120 its reverse (2110112210101), we get a palindrome (12211333311221).

The spelling of 10101221101120 in words is "ten trillion, one hundred one billion, two hundred twenty-one million, one hundred one thousand, one hundred twenty".