1001110121200 has 240 divisors, whose sum is σ = 2810806604800. Its totient is φ = 342510094080.

The previous prime is 1001110121173. The next prime is 1001110121267. The reversal of 1001110121200 is 21210111001.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 66808909 + ... + 66823891.

Almost surely, 2^{1001110121200} is an apocalyptic number.

1001110121200 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 1001110121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405403302400).

1001110121200 is an abundant number, since it is smaller than the sum of its proper divisors (1809696483600).

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

1001110121200 is a wasteful number, since it uses less digits than its factorization.

1001110121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15509 (or 15484 counting only the distinct ones).

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

Adding to 1001110121200 its reverse (21210111001), we get a palindrome (1022320232201).

The spelling of 1001110121200 in words is "one trillion, one billion, one hundred ten million, one hundred twenty-one thousand, two hundred".