2503023050100 has 144 divisors (see below), whose sum is σ = 7272850132800. Its totient is φ = 664638750720.

The previous prime is 2503023050071. The next prime is 2503023050113. The reversal of 2503023050100 is 10503203052.

It is a super-2 number, since 2×2503023050100² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369228511 + ... + 369235289.

It is an arithmetic number, because the mean of its divisors is an integer number (50505903700).

Almost surely, 2^{2503023050100} is an apocalyptic number.

2503023050100 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 2503023050100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3636425066400).

2503023050100 is an abundant number, since it is smaller than the sum of its proper divisors (4769827082700).

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

2503023050100 is a wasteful number, since it uses less digits than its factorization.

2503023050100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11842 (or 11835 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

Adding to 2503023050100 its reverse (10503203052), we get a palindrome (2513526253152).

The spelling of 2503023050100 in words is "two trillion, five hundred three billion, twenty-three million, fifty thousand, one hundred".