10112221112120 has 192 divisors, whose sum is σ = 23896282037760. Its totient is φ = 3849137832960.

The previous prime is 10112221112113. The next prime is 10112221112177. The reversal of 10112221112120 is 2121112221101.

It is a super-2 number, since 2×10112221112120² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2564598869 + ... + 2564602811.

It is an arithmetic number, because the mean of its divisors is an integer number (124459802280).

Almost surely, 2^{10112221112120} is an apocalyptic number.

10112221112120 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 10112221112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11948141018880).

10112221112120 is an abundant number, since it is smaller than the sum of its proper divisors (13784060925640).

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

10112221112120 is a wasteful number, since it uses less digits than its factorization.

10112221112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4966 (or 4921 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10112221112120 its reverse (2121112221101), we get a palindrome (12233333333221).

It can be divided in two parts, 101 and 12221112120, that added together give a palindrome (12221112221).

The spelling of 10112221112120 in words is "ten trillion, one hundred twelve billion, two hundred twenty-one million, one hundred twelve thousand, one hundred twenty".