10011122221200 has 120 divisors (see below), whose sum is σ = 32122501320000. Its totient is φ = 2665175585280.

The previous prime is 10011122221181. The next prime is 10011122221267. The reversal of 10011122221200 is 212222111001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10011122221200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6244975 + ... + 7682574.

It is an arithmetic number, because the mean of its divisors is an integer number (267687511000).

Almost surely, 2^{10011122221200} is an apocalyptic number.

10011122221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011122221200 is an abundant number, since it is smaller than the sum of its proper divisors (22111379098800).

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

10011122221200 is a wasteful number, since it uses less digits than its factorization.

10011122221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13928169 (or 13928158 counting only the distinct ones).

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

Adding to 10011122221200 its reverse (212222111001), we get a palindrome (10223344332201).

The spelling of 10011122221200 in words is "ten trillion, eleven billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred".