10102223130100 has 72 divisors (see below), whose sum is σ = 22627927719936. Its totient is φ = 3912236640000.

The previous prime is 10102223130071. The next prime is 10102223130113. The reversal of 10102223130100 is 103132220101.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 8867316 + ... + 9941515.

It is an arithmetic number, because the mean of its divisors is an integer number (314276773888).

Almost surely, 2^{10102223130100} is an apocalyptic number.

10102223130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102223130100 is an abundant number, since it is smaller than the sum of its proper divisors (12525704589836).

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

10102223130100 is a wasteful number, since it uses less digits than its factorization.

10102223130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18809017 (or 18809010 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10102223130100 its reverse (103132220101), we get a palindrome (10205355350201).

Subtracting from 10102223130100 its reverse (103132220101), we obtain a palindrome (9999090909999).

The spelling of 10102223130100 in words is "ten trillion, one hundred two billion, two hundred twenty-three million, one hundred thirty thousand, one hundred".