101101110211200 has 768 divisors, whose sum is σ = 367248377278080. Its totient is φ = 24241766400000.

The previous prime is 101101110211169. The next prime is 101101110211237. The reversal of 101101110211200 is 2112011101101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11700158880 + ... + 11700167520.

Almost surely, 2^{101101110211200} is an apocalyptic number.

101101110211200 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 101101110211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183624188639040).

101101110211200 is an abundant number, since it is smaller than the sum of its proper divisors (266147267066880).

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

101101110211200 is a wasteful number, since it uses less digits than its factorization.

101101110211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9877 (or 9860 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101101110211200 its reverse (2112011101101), we get a palindrome (103213121312301).

It can be divided in two parts, 1011011 and 10211200, that added together give a palindrome (11222211).

The spelling of 101101110211200 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, two hundred eleven thousand, two hundred".