10200220100120 has 64 divisors (see below), whose sum is σ = 25208781984000. Its totient is φ = 3697288011648.

The previous prime is 10200220100111. The next prime is 10200220100243. The reversal of 10200220100120 is 2100102200201.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 291750830 + ... + 291785789.

It is an arithmetic number, because the mean of its divisors is an integer number (393887218500).

Almost surely, 2^{10200220100120} is an apocalyptic number.

10200220100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200220100120 is an abundant number, since it is smaller than the sum of its proper divisors (15008561883880).

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

10200220100120 is a wasteful number, since it uses less digits than its factorization.

10200220100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583536672 (or 583536668 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10200220100120 its reverse (2100102200201), we get a palindrome (12300322300321).

The spelling of 10200220100120 in words is "ten trillion, two hundred billion, two hundred twenty million, one hundred thousand, one hundred twenty".