10122120131301 has 48 divisors (see below), whose sum is σ = 15665259617280. Its totient is φ = 6275745369600.

The previous prime is 10122120131297. The next prime is 10122120131303. The reversal of 10122120131301 is 10313102122101.

10122120131301 is a `hidden beast` number, since 10 + 1 + 221 + 2 + 0 + 131 + 301 = 666.

It is not a de Polignac number, because 10122120131301 - 2² = 10122120131297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122120131303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7121740 + ... + 8423978.

It is an arithmetic number, because the mean of its divisors is an integer number (326359575360).

Almost surely, 2^{10122120131301} is an apocalyptic number.

It is an amenable number.

10122120131301 is a deficient number, since it is larger than the sum of its proper divisors (5543139485979).

10122120131301 is a wasteful number, since it uses less digits than its factorization.

10122120131301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302866 (or 1302863 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10122120131301 its reverse (10313102122101), we get a palindrome (20435222253402).

The spelling of 10122120131301 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty million, one hundred thirty-one thousand, three hundred one".