10112211120 has 320 divisors, whose sum is σ = 35010330624. Its totient is φ = 2393948160.

The previous prime is 10112211113. The next prime is 10112211169. The reversal of 10112211120 is 2111221101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10112211096 and 10112211105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26402449 + ... + 26402831.

Almost surely, 2^10112211120 is an apocalyptic number.

10112211120 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 10112211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17505165312).

10112211120 is an abundant number, since it is smaller than the sum of its proper divisors (24898119504).

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

10112211120 is a wasteful number, since it uses less digits than its factorization.

10112211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10112211120 its reverse (2111221101), we get a palindrome (12223432221).

It can be divided in two parts, 101 and 12211120, that added together give a palindrome (12211221).

The spelling of 10112211120 in words is "ten billion, one hundred twelve million, two hundred eleven thousand, one hundred twenty".