10103204134100 has 288 divisors, whose sum is σ = 27682048235520. Its totient is φ = 3109101120000.

The previous prime is 10103204134097. The next prime is 10103204134123. The reversal of 10103204134100 is 143140230101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 279176207 + ... + 279212393.

It is an arithmetic number, because the mean of its divisors is an integer number (96118223040).

Almost surely, 2^{10103204134100} is an apocalyptic number.

10103204134100 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 10103204134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13841024117760).

10103204134100 is an abundant number, since it is smaller than the sum of its proper divisors (17578844101420).

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

10103204134100 is a wasteful number, since it uses less digits than its factorization.

10103204134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36679 (or 36672 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10103204134100 its reverse (143140230101), we get a palindrome (10246344364201).

The spelling of 10103204134100 in words is "ten trillion, one hundred three billion, two hundred four million, one hundred thirty-four thousand, one hundred".