1102101101200 has 480 divisors, whose sum is σ = 3026996116992. Its totient is φ = 382107648000.

The previous prime is 1102101101159. The next prime is 1102101101219. The reversal of 1102101101200 is 21011012011.

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 95 ways as a sum of consecutive naturals, for example, 2115356940 + ... + 2115357460.

Almost surely, 2^{1102101101200} is an apocalyptic number.

1102101101200 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 1102101101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513498058496).

1102101101200 is an abundant number, since it is smaller than the sum of its proper divisors (1924895015792).

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

1102101101200 is a wasteful number, since it uses less digits than its factorization.

1102101101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 832 counting only the distinct ones).

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

Adding to 1102101101200 its reverse (21011012011), we get a palindrome (1123112113211).

It can be divided in two parts, 1 and 102101101200, that added together give a palindrome (102101101201).

The spelling of 1102101101200 in words is "one trillion, one hundred two billion, one hundred one million, one hundred one thousand, two hundred".