110101121200 has 240 divisors, whose sum is σ = 310910100480. Its totient is φ = 36681984000.

The previous prime is 110101121177. The next prime is 110101121219. The reversal of 110101121200 is 2121101011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31109031 + ... + 31112569.

It is an arithmetic number, because the mean of its divisors is an integer number (1295458752).

Almost surely, 2^110101121200 is an apocalyptic number.

110101121200 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 110101121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155455050240).

110101121200 is an abundant number, since it is smaller than the sum of its proper divisors (200808979280).

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

110101121200 is a wasteful number, since it uses less digits than its factorization.

110101121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3876 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110101121200 its reverse (2121101011), we get a palindrome (112222222211).

It can be divided in two parts, 1101011 and 21200, that added together give a palindrome (1122211).

The spelling of 110101121200 in words is "one hundred ten billion, one hundred one million, one hundred twenty-one thousand, two hundred".