1144124020100 has 18 divisors (see below), whose sum is σ = 2482749123834. Its totient is φ = 457649608000.

The previous prime is 1144124020051. The next prime is 1144124020103. The reversal of 1144124020100 is 10204214411.

It can be written as a sum of positive squares in 3 ways, for example, as 142135032064 + 1001988988036 = 377008^2 + 1000994^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1144124020103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5720620001 + ... + 5720620200.

Almost surely, 2^{1144124020100} is an apocalyptic number.

1144124020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144124020100 is an abundant number, since it is smaller than the sum of its proper divisors (1338625103734).

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

1144124020100 is a wasteful number, since it uses less digits than its factorization.

1144124020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11441240215 (or 11441240208 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 1144124020100 its reverse (10204214411), we get a palindrome (1154328234511).

The spelling of 1144124020100 in words is "one trillion, one hundred forty-four billion, one hundred twenty-four million, twenty thousand, one hundred".