10112221210120 has 32 divisors (see below), whose sum is σ = 22755539767320. Its totient is φ = 4044347676160.

The previous prime is 10112221210099. The next prime is 10112221210129. The reversal of 10112221210120 is 2101212221101.

It can be written as a sum of positive squares in 4 ways, for example, as 10105189045956 + 7032164164 = 3178866^2 + 83858^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10112221210094 and 10112221210103.

It is not an unprimeable number, because it can be changed into a prime (10112221210129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16597267 + ... + 17195746.

Almost surely, 2^{10112221210120} is an apocalyptic number.

10112221210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112221210120 is an abundant number, since it is smaller than the sum of its proper divisors (12643318557200).

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

10112221210120 is a wasteful number, since it uses less digits than its factorization.

10112221210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33800505 (or 33800501 counting only the distinct ones).

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

Adding to 10112221210120 its reverse (2101212221101), we get a palindrome (12213433431221).

The spelling of 10112221210120 in words is "ten trillion, one hundred twelve billion, two hundred twenty-one million, two hundred ten thousand, one hundred twenty".