10120212101200 has 60 divisors (see below), whose sum is σ = 24354400816800. Its totient is φ = 4041326673280.

The previous prime is 10120212101159. The next prime is 10120212101257. The reversal of 10120212101200 is 210121202101.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 20879374 + ... + 21358573.

It is an arithmetic number, because the mean of its divisors is an integer number (405906680280).

Almost surely, 2^{10120212101200} is an apocalyptic number.

10120212101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120212101200 is an abundant number, since it is smaller than the sum of its proper divisors (14234188715600).

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

10120212101200 is a wasteful number, since it uses less digits than its factorization.

10120212101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42238564 (or 42238553 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10120212101200 its reverse (210121202101), we get a palindrome (10330333303301).

The spelling of 10120212101200 in words is "ten trillion, one hundred twenty billion, two hundred twelve million, one hundred one thousand, two hundred".