2003102120100 has 144 divisors (see below), whose sum is σ = 5996866176000. Its totient is φ = 515623019520.

The previous prime is 2003102120099. The next prime is 2003102120101. The reversal of 2003102120100 is 10212013002.

It is an interprime number because it is at equal distance from previous prime (2003102120099) and next prime (2003102120101).

It is a super-2 number, since 2×2003102120100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2003102120101) by changing a digit.

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, 41727312 + ... + 41775288.

It is an arithmetic number, because the mean of its divisors is an integer number (41644904000).

Almost surely, 2^{2003102120100} is an apocalyptic number.

2003102120100 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 2003102120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998433088000).

2003102120100 is an abundant number, since it is smaller than the sum of its proper divisors (3993764055900).

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

2003102120100 is a wasteful number, since it uses less digits than its factorization.

2003102120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52822 (or 52815 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2003102120100 its reverse (10212013002), we get a palindrome (2013314133102).

The spelling of 2003102120100 in words is "two trillion, three billion, one hundred two million, one hundred twenty thousand, one hundred".