1100101314200 has 192 divisors, whose sum is σ = 2988445155840. Its totient is φ = 368831738880.

The previous prime is 1100101314181. The next prime is 1100101314223. The reversal of 1100101314200 is 24131010011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 12807797 + ... + 12893403.

It is an arithmetic number, because the mean of its divisors is an integer number (15564818520).

Almost surely, 2^{1100101314200} is an apocalyptic number.

1100101314200 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 1100101314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494222577920).

1100101314200 is an abundant number, since it is smaller than the sum of its proper divisors (1888343841640).

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

1100101314200 is a wasteful number, since it uses less digits than its factorization.

1100101314200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85834 (or 85825 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1100101314200 its reverse (24131010011), we get a palindrome (1124232324211).

The spelling of 1100101314200 in words is "one trillion, one hundred billion, one hundred one million, three hundred fourteen thousand, two hundred".