101101102200 has 288 divisors, whose sum is σ = 395957172000. Its totient is φ = 23108682240.

The previous prime is 101101102199. The next prime is 101101102211. The reversal of 101101102200 is 2201101101.

It is a happy number.

101101102200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 535524 + ... + 699276.

Almost surely, 2^101101102200 is an apocalyptic number.

101101102200 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 101101102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197978586000).

101101102200 is an abundant number, since it is smaller than the sum of its proper divisors (294856069800).

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

101101102200 is a wasteful number, since it uses less digits than its factorization.

101101102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163796 (or 163770 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101101102200 its reverse (2201101101), we get a palindrome (103302203301).

The spelling of 101101102200 in words is "one hundred one billion, one hundred one million, one hundred two thousand, two hundred".