10203080660100 has 576 divisors, whose sum is σ = 34929351878400. Its totient is φ = 2546159616000.

The previous prime is 10203080660051. The next prime is 10203080660131. The reversal of 10203080660100 is 106608030201.

10203080660100 is a `hidden beast` number, since 1 + 0 + 20 + 30 + 8 + 0 + 6 + 601 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 191 ways as a sum of consecutive naturals, for example, 7915500256 + ... + 7915501544.

It is an arithmetic number, because the mean of its divisors is an integer number (60641235900).

Almost surely, 2^{10203080660100} is an apocalyptic number.

10203080660100 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 10203080660100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17464675939200).

10203080660100 is an abundant number, since it is smaller than the sum of its proper divisors (24726271218300).

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

10203080660100 is a wasteful number, since it uses less digits than its factorization.

10203080660100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 10203080660100 its reverse (106608030201), we get a palindrome (10309688690301).

The spelling of 10203080660100 in words is "ten trillion, two hundred three billion, eighty million, six hundred sixty thousand, one hundred".