10103110001100 has 720 divisors, whose sum is σ = 35923470438240. Its totient is φ = 2445919027200.

The previous prime is 10103110001029. The next prime is 10103110001107. The reversal of 10103110001100 is 110001130101.

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

It is not an unprimeable number, because it can be changed into a prime (10103110001107) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 502457247 + ... + 502477353.

It is an arithmetic number, because the mean of its divisors is an integer number (49893708942).

Almost surely, 2^{10103110001100} is an apocalyptic number.

10103110001100 is a gapful number since it is divisible by the number (10) 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 10103110001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17961735219120).

10103110001100 is an abundant number, since it is smaller than the sum of its proper divisors (25820360437140).

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

10103110001100 is a wasteful number, since it uses less digits than its factorization.

10103110001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20280 (or 20264 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 10103110001100 its reverse (110001130101), we get a palindrome (10213111131201).

The spelling of 10103110001100 in words is "ten trillion, one hundred three billion, one hundred ten million, one thousand, one hundred".