110201122213000 has 512 divisors, whose sum is σ = 328466667110400. Its totient is φ = 33659490816000.

The previous prime is 110201122212991. The next prime is 110201122213073. The reversal of 110201122213000 is 312221102011.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7090985230 + ... + 7091000770.

It is an arithmetic number, because the mean of its divisors is an integer number (641536459200).

Almost surely, 2^{110201122213000} is an apocalyptic number.

110201122213000 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 110201122213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164233333555200).

110201122213000 is an abundant number, since it is smaller than the sum of its proper divisors (218265544897400).

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

110201122213000 is a wasteful number, since it uses less digits than its factorization.

110201122213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18298 (or 18284 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 110201122213000 its reverse (312221102011), we get a palindrome (110513343315011).

The spelling of 110201122213000 in words is "one hundred ten trillion, two hundred one billion, one hundred twenty-two million, two hundred thirteen thousand".