10120035527271 has 12 divisors (see below), whose sum is σ = 14628058525080. Its totient is φ = 6741969076080.

The previous prime is 10120035527167. The next prime is 10120035527297. The reversal of 10120035527271 is 17272553002101.

10120035527271 is a `hidden beast` number, since 1 + 0 + 12 + 0 + 0 + 355 + 27 + 271 = 666.

It is not a de Polignac number, because 10120035527271 - 2¹⁴ = 10120035510887 is a prime.

It is a super-3 number, since 3×10120035527271³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120035927271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 393426045 + ... + 393451766.

It is an arithmetic number, because the mean of its divisors is an integer number (1219004877090).

Almost surely, 2^{10120035527271} is an apocalyptic number.

10120035527271 is a deficient number, since it is larger than the sum of its proper divisors (4508022997809).

10120035527271 is a wasteful number, since it uses less digits than its factorization.

10120035527271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786879246 (or 786879243 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

Adding to 10120035527271 its reverse (17272553002101), we get a palindrome (27392588529372).

The spelling of 10120035527271 in words is "ten trillion, one hundred twenty billion, thirty-five million, five hundred twenty-seven thousand, two hundred seventy-one".