112001000221110 has 768 divisors, whose sum is σ = 386485945509888. Its totient is φ = 20392230297600.

The previous prime is 112001000221087. The next prime is 112001000221193. The reversal of 112001000221110 is 11122000100211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 318712959 + ... + 319064181.

It is an arithmetic number, because the mean of its divisors is an integer number (503236908216).

Almost surely, 2^{112001000221110} is an apocalyptic number.

112001000221110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112001000221110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193242972754944).

112001000221110 is an abundant number, since it is smaller than the sum of its proper divisors (274484945288778).

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

112001000221110 is a wasteful number, since it uses less digits than its factorization.

112001000221110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351349 (or 351342 counting only the distinct ones).

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

Adding to 112001000221110 its reverse (11122000100211), we get a palindrome (123123000321321).

The spelling of 112001000221110 in words is "one hundred twelve trillion, one billion, two hundred twenty-one thousand, one hundred ten".