2103201013100 has 288 divisors, whose sum is σ = 5076944221440. Its totient is φ = 749948544000.

The previous prime is 2103201013093. The next prime is 2103201013171. The reversal of 2103201013100 is 13101023012.

It is a super-2 number, since 2×2103201013100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7431805559 + ... + 7431805841.

Almost surely, 2^{2103201013100} is an apocalyptic number.

2103201013100 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 2103201013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538472110720).

2103201013100 is an abundant number, since it is smaller than the sum of its proper divisors (2973743208340).

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

2103201013100 is a wasteful number, since it uses less digits than its factorization.

2103201013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 2103201013100 its reverse (13101023012), we get a palindrome (2116302036112).

The spelling of 2103201013100 in words is "two trillion, one hundred three billion, two hundred one million, thirteen thousand, one hundred".