1100012101200 has 180 divisors, whose sum is σ = 3819141032668. Its totient is φ = 293198745600.

The previous prime is 1100012101183. The next prime is 1100012101207. The reversal of 1100012101200 is 21012100011.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 48271605264 + 1051740495936 = 219708^2 + 1025544^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100012101207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7708902 + ... + 7850298.

Almost surely, 2^{1100012101200} is an apocalyptic number.

1100012101200 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 1100012101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909570516334).

1100012101200 is an abundant number, since it is smaller than the sum of its proper divisors (2719128931468).

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

1100012101200 is a wasteful number, since it uses less digits than its factorization.

1100012101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143582 (or 143568 counting only the distinct ones).

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

Adding to 1100012101200 its reverse (21012100011), we get a palindrome (1121024201211).

The spelling of 1100012101200 in words is "one trillion, one hundred billion, twelve million, one hundred one thousand, two hundred".