10011200222112 has 192 divisors, whose sum is σ = 28617562673280. Its totient is φ = 3053532266496.

The previous prime is 10011200222063. The next prime is 10011200222113. The reversal of 10011200222112 is 21122200211001.

It is a junction number, because it is equal to n+sod(n) for n = 10011200222091 and 10011200222100.

It is not an unprimeable number, because it can be changed into a prime (10011200222113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8704468 + ... + 9787244.

It is an arithmetic number, because the mean of its divisors is an integer number (149049805590).

Almost surely, 2^{10011200222112} is an apocalyptic number.

10011200222112 is a gapful number since it is divisible by the number (12) 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 10011200222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14308781336640).

10011200222112 is an abundant number, since it is smaller than the sum of its proper divisors (18606362451168).

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

10011200222112 is a wasteful number, since it uses less digits than its factorization.

10011200222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082983 (or 1082975 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10011200222112 its reverse (21122200211001), we get a palindrome (31133400433113).

The spelling of 10011200222112 in words is "ten trillion, eleven billion, two hundred million, two hundred twenty-two thousand, one hundred twelve".