10121107127013 has 16 divisors (see below), whose sum is σ = 14994640593600. Its totient is φ = 6747221235600.

The previous prime is 10121107126997. The next prime is 10121107127023. The reversal of 10121107127013 is 31072170112101.

10121107127013 is a `hidden beast` number, since 101 + 211 + 0 + 71 + 270 + 13 = 666.

It is not a de Polignac number, because 10121107127013 - 2⁴ = 10121107126997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121107127023) by changing a digit.

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, 4082883 + ... + 6075536.

It is an arithmetic number, because the mean of its divisors is an integer number (937165037100).

Almost surely, 2^{10121107127013} is an apocalyptic number.

It is an amenable number.

10121107127013 is a deficient number, since it is larger than the sum of its proper divisors (4873533466587).

10121107127013 is a wasteful number, since it uses less digits than its factorization.

10121107127013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10195329 (or 10195323 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 27.

Adding to 10121107127013 its reverse (31072170112101), we get a palindrome (41193277239114).

The spelling of 10121107127013 in words is "ten trillion, one hundred twenty-one billion, one hundred seven million, one hundred twenty-seven thousand, thirteen".