10124255242101 has 64 divisors (see below), whose sum is σ = 18125276682240. Its totient is φ = 4854590634240.

The previous prime is 10124255242097. The next prime is 10124255242169.

10124255242101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10124255242101 - 2² = 10124255242097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10124255244101) 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 63 ways as a sum of consecutive naturals, for example, 96683310 + ... + 96787968.

It is an arithmetic number, because the mean of its divisors is an integer number (283207448160).

Almost surely, 2^{10124255242101} is an apocalyptic number.

10124255242101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10124255242101 is a deficient number, since it is larger than the sum of its proper divisors (8001021440139).

10124255242101 is a wasteful number, since it uses less digits than its factorization.

10124255242101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136906.

The product of its (nonzero) digits is 6400, while the sum is 30.

It can be divided in two parts, 1012425 and 5242101, that added together give a palindrome (6254526).

The spelling of 10124255242101 in words is "ten trillion, one hundred twenty-four billion, two hundred fifty-five million, two hundred forty-two thousand, one hundred one".