10124166142101 has 16 divisors (see below), whose sum is σ = 14727721789440. Its totient is φ = 6135165790320.

The previous prime is 10124166142067. The next prime is 10124166142169.

10124166142101 is nontrivially palindromic in base 10.

10124166142101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10124166142101 - 2⁶ = 10124166142037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10124166147101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17015031 + ... + 17599988.

It is an arithmetic number, because the mean of its divisors is an integer number (920482611840).

Almost surely, 2^{10124166142101} is an apocalyptic number.

10124166142101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10124166142101 is a deficient number, since it is larger than the sum of its proper divisors (4603555647339).

10124166142101 is a wasteful number, since it uses less digits than its factorization.

10124166142101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34623896.

The product of its (nonzero) digits is 2304, while the sum is 30.

It can be divided in two parts, 1012416 and 6142101, that added together give a palindrome (7154517).

The spelling of 10124166142101 in words is "ten trillion, one hundred twenty-four billion, one hundred sixty-six million, one hundred forty-two thousand, one hundred one".