111012101200 has 960 divisors, whose sum is σ = 388343144448. Its totient is φ = 29336371200.

The previous prime is 111012101159. The next prime is 111012101203. The reversal of 111012101200 is 2101210111.

It is a super-2 number, since 2×111012101200² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111012101203) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 319919427 + ... + 319919773.

Almost surely, 2^111012101200 is an apocalyptic number.

111012101200 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 111012101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194171572224).

111012101200 is an abundant number, since it is smaller than the sum of its proper divisors (277331043248).

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

111012101200 is a wasteful number, since it uses less digits than its factorization.

111012101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 449 counting only the distinct ones).

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

Adding to 111012101200 its reverse (2101210111), we get a palindrome (113113311311).

It can be divided in two parts, 111012 and 101200, that added together give a palindrome (212212).

The spelling of 111012101200 in words is "one hundred eleven billion, twelve million, one hundred one thousand, two hundred".