10126144162101 has 16 divisors (see below), whose sum is σ = 14781353122368. Its totient is φ = 6115217001600.

The previous prime is 10126144162097. The next prime is 10126144162103.

10126144162101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10126144162101 - 2² = 10126144162097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10126144162103) 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, 545992246 + ... + 546010791.

It is an arithmetic number, because the mean of its divisors is an integer number (923834570148).

Almost surely, 2^{10126144162101} is an apocalyptic number.

10126144162101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10126144162101 is a deficient number, since it is larger than the sum of its proper divisors (4655208960267).

10126144162101 is a wasteful number, since it uses less digits than its factorization.

10126144162101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092003332.

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

It can be divided in two parts, 1012614 and 4162101, that added together give a palindrome (5174715).

The spelling of 10126144162101 in words is "ten trillion, one hundred twenty-six billion, one hundred forty-four million, one hundred sixty-two thousand, one hundred one".