10103010332100 has 576 divisors, whose sum is σ = 37281187184640. Its totient is φ = 2059918387200.

The previous prime is 10103010332083. The next prime is 10103010332161. The reversal of 10103010332100 is 123301030101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10103010332100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45654922 + ... + 45875678.

Almost surely, 2^{10103010332100} is an apocalyptic number.

10103010332100 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 10103010332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18640593592320).

10103010332100 is an abundant number, since it is smaller than the sum of its proper divisors (27178176852540).

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

10103010332100 is a wasteful number, since it uses less digits than its factorization.

10103010332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220868 (or 220861 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10103010332100 its reverse (123301030101), we get a palindrome (10226311362201).

The spelling of 10103010332100 in words is "ten trillion, one hundred three billion, ten million, three hundred thirty-two thousand, one hundred".