10051010061100 has 72 divisors (see below), whose sum is σ = 22185107406000. Its totient is φ = 3951960096000.

The previous prime is 10051010061091. The next prime is 10051010061101. The reversal of 10051010061100 is 116001015001.

It is not an unprimeable number, because it can be changed into a prime (10051010061101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2175775 + ... + 4983574.

It is an arithmetic number, because the mean of its divisors is an integer number (308126491750).

Almost surely, 2^{10051010061100} is an apocalyptic number.

10051010061100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10051010061100 is an abundant number, since it is smaller than the sum of its proper divisors (12134097344900).

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

10051010061100 is a wasteful number, since it uses less digits than its factorization.

10051010061100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7159603 (or 7159596 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 10051010061100 its reverse (116001015001), we get a palindrome (10167011076101).

The spelling of 10051010061100 in words is "ten trillion, fifty-one billion, ten million, sixty-one thousand, one hundred".