10221101112120 has 128 divisors (see below), whose sum is σ = 30702791750400. Its totient is φ = 2722119128064.

The previous prime is 10221101112077. The next prime is 10221101112137. The reversal of 10221101112120 is 2121110112201.

It is a happy number.

10221101112120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10221101112120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322182579 + ... + 322214301.

It is an arithmetic number, because the mean of its divisors is an integer number (239865560550).

Almost surely, 2^{10221101112120} is an apocalyptic number.

10221101112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221101112120 is an abundant number, since it is smaller than the sum of its proper divisors (20481690638280).

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

10221101112120 is a wasteful number, since it uses less digits than its factorization.

10221101112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35109 (or 35105 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10221101112120 its reverse (2121110112201), we get a palindrome (12342211224321).

The spelling of 10221101112120 in words is "ten trillion, two hundred twenty-one billion, one hundred one million, one hundred twelve thousand, one hundred twenty".