10120272600000 has 168 divisors, whose sum is σ = 33468553094256. Its totient is φ = 2698739200000.

The previous prime is 10120272599971. The next prime is 10120272600001. The reversal of 10120272600000 is 627202101.

It is a self number, because there is not a number n which added to its sum of digits gives 10120272600000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120272600001) 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, 7833561 + ... + 9033560.

It is an arithmetic number, because the mean of its divisors is an integer number (199217577942).

Almost surely, 2^{10120272600000} is an apocalyptic number.

10120272600000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120272600000 is an abundant number, since it is smaller than the sum of its proper divisors (23348280494256).

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

10120272600000 is an frugal number, since it uses more digits than its factorization.

10120272600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16867161 (or 16867131 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

Adding to 10120272600000 its reverse (627202101), we get a palindrome (10120899802101).

The spelling of 10120272600000 in words is "ten trillion, one hundred twenty billion, two hundred seventy-two million, six hundred thousand".