10122131202093 has 48 divisors (see below), whose sum is σ = 14744463177600. Its totient is φ = 6691206436992.

The previous prime is 10122131202077. The next prime is 10122131202097. The reversal of 10122131202093 is 39020213122101.

10122131202093 is a `hidden beast` number, since 101 + 221 + 312 + 0 + 20 + 9 + 3 = 666.

It is not a de Polignac number, because 10122131202093 - 2⁴ = 10122131202077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122131202097) 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 47 ways as a sum of consecutive naturals, for example, 3560368330 + ... + 3560371172.

It is an arithmetic number, because the mean of its divisors is an integer number (307176316200).

Almost surely, 2^{10122131202093} is an apocalyptic number.

It is an amenable number.

10122131202093 is a deficient number, since it is larger than the sum of its proper divisors (4622331975507).

10122131202093 is a wasteful number, since it uses less digits than its factorization.

10122131202093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6658 (or 6655 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 10122131202093 its reverse (39020213122101), we get a palindrome (49142344324194).

The spelling of 10122131202093 in words is "ten trillion, one hundred twenty-two billion, one hundred thirty-one million, two hundred two thousand, ninety-three".