2003101101000 has 192 divisors, whose sum is σ = 6772128994800. Its totient is φ = 534030336000.

The previous prime is 2003101100999. The next prime is 2003101101107. The reversal of 2003101101000 is 1011013002.

It can be written as a sum of positive squares in 8 ways, for example, as 6311666916 + 1996789434084 = 79446^2 + 1413078^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40304166 + ... + 40353834.

Almost surely, 2^{2003101101000} is an apocalyptic number.

2003101101000 is a gapful number since it is divisible by the number (20) 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 2003101101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386064497400).

2003101101000 is an abundant number, since it is smaller than the sum of its proper divisors (4769027893800).

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

2003101101000 is a wasteful number, since it uses less digits than its factorization.

2003101101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54177 (or 54160 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 2003101101000 its reverse (1011013002), we get a palindrome (2004112114002).

The spelling of 2003101101000 in words is "two trillion, three billion, one hundred one million, one hundred one thousand".