10111123222200 has 1152 divisors, whose sum is σ = 46824498040320. Its totient is φ = 1886967705600.

The previous prime is 10111123222183. The next prime is 10111123222229. The reversal of 10111123222200 is 222232111101.

10111123222200 is a `hidden beast` number, since 1 + 0 + 11 + 112 + 322 + 220 + 0 = 666.

10111123222200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10111123222200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 66590767 + ... + 66742433.

It is an arithmetic number, because the mean of its divisors is an integer number (40646265660).

Almost surely, 2^{10111123222200} is an apocalyptic number.

10111123222200 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 10111123222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23412249020160).

10111123222200 is an abundant number, since it is smaller than the sum of its proper divisors (36713374818120).

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

10111123222200 is a wasteful number, since it uses less digits than its factorization.

10111123222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151757 (or 151745 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10111123222200 its reverse (222232111101), we get a palindrome (10333355333301).

It can be divided in two parts, 1011 and 1123222200, that added together give a palindrome (1123223211).

The spelling of 10111123222200 in words is "ten trillion, one hundred eleven billion, one hundred twenty-three million, two hundred twenty-two thousand, two hundred".